Quiz about Test Radicali

Question 1

Trasporta fuori dal segno di radice: $$\sqrt[]{450}$$

Accepted Answer

$$15\ \sqrt[]{2}$$

Answer

$$10\ \sqrt[]{45}$$

Answer

$$2\ \sqrt[]{50}$$

Answer

$$90\ \sqrt[]{5}$$

Question 2

Trasporta fuori dal segno di radice: $$\sqrt[4]{2^7\cdot9^2\cdot5}$$

Accepted Answer

$$6\ \sqrt[4]{40}$$

Answer

$$2\ \sqrt[4]{40\cdot81}$$

Answer

$$8\ \sqrt[4]{40\cdot81}$$

Answer

$$18\ \sqrt[4]{40}$$

Answer

nessuna delle presenti

Question 3

Trasporta fuori dal segno di radice: $$\sqrt[3]{\frac{81}{8}}$$

Accepted Answer

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

Answer

$$2\sqrt[3]{81}$$

Answer

$$\frac{1}{2}\ \sqrt[3]{81}$$

Answer

$$\frac{27}{2}$$

Answer

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

Question 4

Calcola il risultato del prodotto $$\sqrt[3]{5}\cdot\ \sqrt[]{2}$$

Accepted Answer

$$\sqrt[6]{200}$$

Answer

$$\sqrt[6]{10}$$

Answer

$$\sqrt[3]{10}$$

Answer

$$\sqrt[6]{60}$$

Answer

$$\sqrt[6]{80}$$

Question 5

Determina la soluzione dell'equazione $$x\ \sqrt[]{24}-6=x\left(1-\sqrt[]{7}\right)\left(1+\sqrt[]{7}\right)$$

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Answer

nessuna delle presenti

Question 6

Razionalizza $$\frac{7}{\sqrt[]{21}}$$

Accepted Answer

$$\frac{\sqrt[]{21}}{3}$$

Answer

$$\frac{1}{\sqrt[]{3}}$$

Answer

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

Answer

$$\frac{21}{\sqrt[]{7}}$$

Answer

$$7\ \sqrt[]{3}$$

Question 7

Indica la risposta corretta: $$\sqrt[n]{a^m}=$$

Accepted Answer

$$a^{\frac{m}{n}}$$

Answer

$$a^{\frac{n}{m}}$$

Answer

$$a^{mn}$$

Answer

$$a^{-nm}$$

Answer

$$a^{-\frac{n}{m}}$$

Question 8

$$\sqrt{16}=\pm4$$

Accepted Answer

Falso

Answer

Vero

Question 9

$$\sqrt[3]{-27}=-\sqrt[3]{27}$$

Accepted Answer

Vero

Answer

Falso

Question 10

$$\sqrt[]{-49}=-7$$

Accepted Answer

Falso

Answer

Vero

Question 11

$$\sqrt[]{\left(-5\right)^2}=5$$

Accepted Answer

Vero

Answer

Falso

Question 12

$$\sqrt[]{x^2}=\left|x\right|$$

Accepted Answer

Vero

Answer

Falso

Question 13

$$\sqrt[]{x+y}=\sqrt[]{x}+\sqrt[]{y}$$

Accepted Answer

Falso

Answer

Vero

Question 14

$$1000^{-\frac{2}{3}}=\frac{1}{100}$$

Accepted Answer

Vero

Answer

Falso

Question 15

Determina le C.E. di $$\sqrt[3]{x-7}$$

Accepted Answer

non ci sono C.E.

Answer

$$x\ge7$$

Answer

$$x\ge0$$

Answer

$$x\le7$$

Answer

$$x-7\ge3$$

Question 16

Determina le C.E. di $$\sqrt[8]{2x-1}$$

Accepted Answer

$$x\ge\frac{1}{2}$$

Answer

$$x\ge0$$

Answer

$$x\le\frac{1}{2}$$

Answer

$$2x-1\ge8$$

Answer

non ci sono C.E.

Question 17

Quale dei seguenti radicali ha come C.E. $$x e2$$ ?

Accepted Answer

$$\sqrt[]{\frac{2}{\left(x-2\right)^2}}$$

Answer

$$\sqrt[]{x^2+4}$$

Answer

$$\sqrt[]{\frac{x-2}{x+2}}$$

Answer

$$\sqrt[]{\left(4-x\right)^2}$$

Question 18

$$\sqrt[]{15}=\sqrt[]{\left(-3\right)\cdot\left(-5\right)}=\sqrt[]{-3}\cdot\sqrt[]{-5}$$

Accepted Answer

Falso

Answer

Vero

Question 19

$$\sqrt[]{\left(-36\right)\left(-11\right)}=6\ \sqrt[]{11}$$

Accepted Answer

Vero

Answer

Falso

Question 20

$$\sqrt[]{\frac{a}{b}}=\frac{\sqrt[]{a}}{\sqrt[]{b}}$$

Accepted Answer

Vero

Answer

Falso

Question 21

$$\left(\sqrt[]{a^2\cdot\sqrt[3]{a}}\cdot\sqrt[]{\frac{1}{a}}\right)^2$$

Accepted Answer

$$a^2\ \sqrt[]{a}$$

Answer

$$\sqrt[]{a}$$

Answer

$$a\ \sqrt[]{a}$$

Answer

$$a\ \sqrt[]{a^2}$$

Answer

nessuna delle presenti

Question 22

$$\frac{1}{\sqrt[]{a}}=\frac{\sqrt[]{a}}{a}$$

Accepted Answer

Vero

Answer

Falso

Question 23

$$\sqrt[]{32}+6\cdot\sqrt[3]{2}-\sqrt[3]{54}-\sqrt[]{8}$$

Accepted Answer

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

Answer

$$2\ \sqrt[]{2}-4\ \sqrt[3]{2}$$

Answer

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

Answer

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

Answer

nessuna delle presenti

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