Quiz about Operations of irrational numbers

Question 1

$$Smplest\ form\ of\ \ \ \sqrt[]{12}$$

Accepted Answer

$$2\ \sqrt[]{3}$$

Answer

$$4\ \sqrt[]{3}$$

Answer

$$3\ \sqrt[]{4}$$

Answer

$$2\ \sqrt[]{6}$$

Question 2

$$Smplest\ form\ of\ \ \ \sqrt[]{80}$$

Accepted Answer

$$4\ \sqrt[]{5}$$

Answer

$$8\ \sqrt[]{10}$$

Answer

$$5\ \sqrt[]{4}$$

Answer

$$10\ \sqrt[]{8}$$

Question 3

$$\ \sqrt[]{6\ }\ +\ \sqrt[]{3}\ =$$

Accepted Answer

Not possible

Answer

$$\sqrt[]{9}$$

Answer

$$3$$

Answer

$$3\ \sqrt[]{3}$$

Question 4

$$\ \sqrt[]{6\ }\ -\ \sqrt[]{3}\ =$$

Accepted Answer

Not possible

Answer

$$\sqrt[]{3}$$

Answer

$$\sqrt[]{2}$$

Answer

$$3\ \sqrt[]{2}$$

Question 5

$$\ \sqrt[]{6\ }\ imes\ \sqrt[]{3}\ =$$

Accepted Answer

$$3\ \sqrt[]{2}$$

Answer

Not possible

Answer

$$\sqrt[]{3}$$

Answer

$$\sqrt[]{2}$$

Question 6

$$\ \sqrt[]{6\ }\ \div\ \sqrt[]{3}\ =$$

Accepted Answer

$$\sqrt[]{2}$$

Answer

Not possible

Answer

$$\sqrt[]{3}$$

Answer

$$3\ \sqrt[]{2}$$

Question 7

$$\ \sqrt[]{3}\ +\ \sqrt[]{3}\ =$$

Accepted Answer

$$2\ \sqrt[]{3}$$

Answer

Not possible

Answer

3

Answer

$$3\ \sqrt[]{2}$$

Question 8

$$\ \sqrt[]{3}\ -\ \sqrt[]{3}\ =$$

Accepted Answer

$$0$$

Answer

Not possible

Answer

2 $$\sqrt[]{3}$$

Answer

3

Question 9

$$\ \sqrt[]{3}\ imes\ \sqrt[]{3}\ =$$

Accepted Answer

3

Answer

Not possible

Answer

$$2\ \sqrt[]{3}$$

Answer

$$1$$

Question 10

$$\ \sqrt[]{3}\ \div\ \sqrt[]{3}\ =$$

Accepted Answer

$$1$$

Answer

Not possible

Answer

$$2\ \sqrt[]{3}$$

Answer

3

Question 11

$$\ \sqrt[]{5}\ +\ \sqrt[]{3}\ =$$

Accepted Answer

Not possible

Answer

$$\sqrt[]{15}$$

Answer

$$\sqrt[]{\frac{5}{3}}$$

Answer

$$\sqrt[]{2}$$

Question 12

$$\ \sqrt[]{5}\ -\ \sqrt[]{3}\ =$$

Accepted Answer

Not possible

Answer

$$\sqrt[]{15}$$

Answer

$$\sqrt[]{\frac{5}{3}}$$

Answer

$$\sqrt[]{2}$$

Question 13

$$\ \sqrt[]{5}\ imes\ \sqrt[]{3}\ =$$

Accepted Answer

$$\sqrt[]{15}$$

Answer

Not possible

Answer

$$\sqrt[]{\frac{5}{3}}$$

Answer

$$\sqrt[]{2}$$

Question 14

$$\ \sqrt[]{5}\ \div\ \sqrt[]{3}\ =$$

Accepted Answer

$$\sqrt[]{\frac{5}{3}}$$

Answer

Not possible

Answer

$$\sqrt[]{15}$$

Answer

$$\sqrt[]{2}$$

Question 15

$$6\ \sqrt[]{5}\ +\ 2\ \sqrt[]{5}\ =$$

Accepted Answer

$$8\ \sqrt[]{5}$$

Answer

Not possible

Answer

$$4\ \sqrt[]{5}$$

Answer

$$3\ $$

Answer

60

Question 16

$$6\ \sqrt[]{5}\ -\ 2\ \sqrt[]{5}\ =$$

Accepted Answer

$$4\ \sqrt[]{5}$$

Answer

Not possible

Answer

$$8\ \sqrt[]{5}$$

Answer

$$3\ $$

Answer

60

Question 17

$$6\ \sqrt[]{5}\ imes\ 2\ \sqrt[]{5}\ =$$

Accepted Answer

60

Answer

Not possible

Answer

$$8\ \sqrt[]{5}$$

Answer

$$4\ \sqrt[]{5}$$

Answer

$$3\ $$

Question 18

$$6\ \sqrt[]{5}\ \div\ 2\ \sqrt[]{5}\ =$$

Accepted Answer

$$3\ $$

Answer

Not possible

Answer

$$8\ \sqrt[]{5}$$

Answer

$$4\ \sqrt[]{5}$$

Answer

60

Question 19

$$6\ \sqrt[]{5}\ +\ 2\ \sqrt[]{3}\ =$$

Accepted Answer

Not possible

Answer

$$8\ \sqrt[]{8}$$

Answer

$$12\ \sqrt[]{15}$$

Answer

$$3\ \sqrt[]{\frac{5}{3}}$$

Question 20

$$6\ \sqrt[]{5}\ -\ 2\ \sqrt[]{3}\ =$$

Accepted Answer

Not possible

Answer

$$8\ \sqrt[]{8}$$

Answer

$$12\ \sqrt[]{15}$$

Answer

$$3\ \sqrt[]{\frac{5}{3}}$$

Question 21

$$6\ \sqrt[]{5}\ imes\ 2\ \sqrt[]{3}\ =$$

Accepted Answer

$$12\ \sqrt[]{15}$$

Answer

Not possible

Answer

$$8\ \sqrt[]{8}$$

Answer

$$3\ \sqrt[]{\frac{5}{3}}$$

Question 22

$$6\ \sqrt[]{5}\ \div\ 2\ \sqrt[]{3}\ =$$

Accepted Answer

$$3\ \sqrt[]{\frac{5}{3}}$$

Answer

Not possible

Answer

$$8\ \sqrt[]{8}$$

Answer

$$12\ \sqrt[]{15}$$

Question 23

$$6\ \sqrt[]{5}\ \div\ 2\ \sqrt[]{3}\ =$$

Accepted Answer

$$3\ \sqrt[]{\frac{5}{3}}$$

Answer

Not possible

Answer

$$8\ \sqrt[]{8}$$

Answer

$$12\ \sqrt[]{15}$$

Question 24

$$5\ \sqrt[]{6}\ +\ 2\ \sqrt[]{3}\ =$$

Accepted Answer

Not possible

Answer

$$30\ \sqrt[]{2}$$

Answer

$$\frac{5}{\sqrt[]{2}}$$

Answer

$$5\ \sqrt[]{2}$$

Question 25

$$5\ \sqrt[]{6}\ -\ 2\ \sqrt[]{3}\ =$$

Accepted Answer

Not possible

Answer

$$30\ \sqrt[]{2}$$

Answer

$$\frac{5}{\sqrt[]{2}}$$

Answer

$$5\ \sqrt[]{2}$$

Question 26

$$5\ \sqrt[]{6}\ imes\ 2\ \sqrt[]{3}\ =$$

Accepted Answer

$$30\ \sqrt[]{2}$$

Answer

Not possible

Answer

$$\frac{5}{\sqrt[]{2}}$$

Answer

$$5\ \sqrt[]{18}$$

Question 27

$$5\ \sqrt[]{6}\ \div\ 2\ \sqrt[]{3}\ =$$

Accepted Answer

$$\frac{5}{\sqrt[]{2}}$$

Answer

Not possible

Answer

$$30\ \sqrt[]{2}$$

Answer

$$5\ \sqrt[]{2}$$

Question 28

$$5\ \sqrt[]{7}\ +\ \sqrt[]{7}\ =$$

Accepted Answer

$$6\ \sqrt[]{7}$$

Answer

$$35$$

Answer

$$4\ \sqrt[]{7}$$

Answer

$$5$$

Question 29

$$5\ \sqrt[]{7}\ -\ \sqrt[]{7}\ =$$

Accepted Answer

$$4\ \sqrt[]{7}$$

Answer

$$6\ \sqrt[]{7}$$

Answer

$$35$$

Answer

$$5$$

Question 30

$$5\ \sqrt[]{7}\ imes\ \sqrt[]{7}\ =$$

Accepted Answer

$$35$$

Answer

$$6\ \sqrt[]{7}$$

Answer

$$4\ \sqrt[]{7}$$

Answer

$$5$$

Question 31

$$5\ \sqrt[]{7}\ \div\ \sqrt[]{7}\ =$$

Accepted Answer

$$5$$

Answer

$$6\ \sqrt[]{7}$$

Answer

$$\frac{1}{5}$$

Answer

$$4\ \sqrt[]{7}$$

Question 32

$$\sqrt[]{2}\ +5\ \sqrt[]{2}\ =$$

Accepted Answer

$$6\ \sqrt[]{2}$$

Answer

$$5\ +\ 2\ \sqrt[]{2}$$

Answer

$$10$$

Answer

6

Question 33

$$\sqrt[]{2}\ -\ 5\ \sqrt[]{2}\ =$$

Accepted Answer

$$-4\ \sqrt[]{2}$$

Answer

$$5\ -\ \ 2\ \sqrt[]{2}$$

Answer

$$4\ \sqrt[]{2}$$

Answer

$$-4$$

Question 34

$$\sqrt[]{2}\ imes\ 5\ \sqrt[]{2}\ =$$

Accepted Answer

$$10$$

Answer

$$5\ \sqrt[]{2}$$

Answer

$$4\ \sqrt[]{5}$$

Answer

5

Question 35

$$\sqrt[]{2}\ \div5\ \sqrt[]{2}\ =$$

Accepted Answer

$$\frac{1}{5}$$

Answer

$$5\ \sqrt[]{2}$$

Answer

$$4\ \sqrt[]{5}$$

Answer

5

Question 36

$$5\ +\ \sqrt[]{5}\ =$$

Accepted Answer

Not possible

Answer

$$5\ \sqrt[]{5}$$

Answer

$$\sqrt[]{5}$$

Answer

$$\frac{1}{\sqrt[]{5}}$$

Question 37

$$5\ -\ \sqrt[]{5}\ =$$

Accepted Answer

Not possible

Answer

$$5\ \sqrt[]{5}$$

Answer

$$\sqrt[]{5}$$

Answer

$$\frac{1}{\sqrt[]{5}}$$

Question 38

$$5\ imes\ \sqrt[]{5}\ =$$

Accepted Answer

$$5\ \sqrt[]{5}$$

Answer

Not possible

Answer

$$\sqrt[]{5}$$

Answer

$$\frac{1}{\sqrt[]{5}}$$

Question 39

$$5\ imes\ \sqrt[]{5}\ =$$

Accepted Answer

$$5\ \sqrt[]{5}$$

Answer

Not possible

Answer

$$\sqrt[]{5}$$

Answer

$$\frac{1}{\sqrt[]{5}}$$

Question 40

$$5\ \div\ \sqrt[]{5}\ =$$

Accepted Answer

$$\sqrt[]{5}$$

Answer

Not possible

Answer

$$5\ \sqrt[]{5}$$

Answer

$$\frac{1}{\sqrt[]{5}}$$

Question 41

$$7+\ \sqrt[]{5}\ =$$

Accepted Answer

Not possible

Answer

$$7\ \sqrt[]{5}$$

Answer

$$\sqrt[]{2}$$

Answer

$$\frac{7}{\sqrt[]{5}}$$

Question 42

$$7-\ \sqrt[]{5}\ =$$

Accepted Answer

Not possible

Answer

$$7\ \sqrt[]{5}$$

Answer

$$\sqrt[]{2}$$

Answer

$$\frac{7}{\sqrt[]{5}}$$

Question 43

$$7 imes\ \sqrt[]{5}\ =$$

Accepted Answer

$$7\ \sqrt[]{5}$$

Answer

Not possible

Answer

$$\sqrt[]{2}$$

Answer

$$\frac{7}{\sqrt[]{5}}$$

Question 44

$$7\div\ \sqrt[]{5}\ =$$

Accepted Answer

$$\frac{7}{\sqrt[]{5}}$$

Answer

Not possible

Answer

$$7\ \sqrt[]{5}$$

Answer

$$\sqrt[]{2}$$

Question 45

$$10\ +\ 2\ \sqrt[]{5}\ =$$

Accepted Answer

Not possible

Answer

$$8\ \sqrt[]{5}$$

Answer

$$20\ \sqrt[]{5}$$

Answer

$$\sqrt[]{5}$$

Question 46

$$10-\ 2\ \sqrt[]{5}\ =$$

Accepted Answer

Not possible

Answer

$$8\ \sqrt[]{5}$$

Answer

$$20\ \sqrt[]{5}$$

Answer

$$\sqrt[]{5}$$

Question 47

$$10\ imes\ \ 2\ \sqrt[]{5}\ =$$

Accepted Answer

$$20\ \sqrt[]{5}$$

Answer

Not possible

Answer

$$8\ \sqrt[]{5}$$

Answer

$$\sqrt[]{5}$$

Question 48

$$10\ \div\ \ 2\ \sqrt[]{5}\ =$$

Accepted Answer

$$\sqrt[]{5}$$

Answer

$$5$$

Answer

$$\sqrt[]{10}$$

Answer

$$\frac{1}{\sqrt[]{5}}$$

Question 49

$$\ 2\ \sqrt[]{5}\ \div\ 10\ =$$

Accepted Answer

$$\frac{1}{\sqrt[]{5}}$$

Answer

$$5$$

Answer

$$\sqrt[]{10}$$

Answer

$$\sqrt[]{5}$$

Question 50

$$\ \sqrt[]{5}\ \div\ 5=$$

Accepted Answer

$$\frac{1}{\sqrt[]{5}}$$

Answer

$$5$$

Answer

$$\sqrt[]{5}$$

Answer

$$\sqrt[]{10}$$

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