Quiz about QUIZ #4.1A (SIMPLIFYING RADICALS) - EMERALD

Question 1

Which of the following radical expressions in is its simplest form? Choose as many answer as you can.

Accepted Answer

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

Accepted Answer

$$\sqrt[3]{7x^2y}$$

Answer

$$\sqrt[]{27}$$

Answer

$$\sqrt[]{20x^2y}$$

Answer

$$\sqrt[4]{4x^2y^8z^{12}}$$

Question 2

What is the radical form of $$7x^{\frac{1}{2}}y^{\frac{3}{2}}z^{\frac{5}{2}}$$

Accepted Answer

$$7\ \sqrt[]{xy^3z^5}$$

Answer

$$\sqrt[]{7xy^3z^5}$$

Answer

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

Answer

$$7\ \sqrt[]{xy^5z^3}$$

Question 3

Evaluate the expression $$\sqrt[]{\sqrt[]{625}}$$

Accepted Answer

5

Answer

25

Answer

15

Answer

10

Question 4

What is the index of $$-10\ \sqrt[]{m^5}$$

Accepted Answer

2

Answer

Answer

m

Answer

$$m^5$$

Question 5

What is the radicand of $$-10\ \sqrt[]{m^5}$$

Accepted Answer

$$m^5$$

Answer

Answer

m

Answer

2

Question 6

What is the simplest form of $$-10\ \sqrt[]{m^5}$$

Accepted Answer

$$-10m^2\ \sqrt[]{m}$$

Answer

Answer

$$-10m^5$$

Answer

$$-10m\ \sqrt[]{m^3}$$

Question 7

Which of the following terms represents the value inside the radical that are mostly composed of numbers and variables with corresponding exponents attached to it that will be factored out in the process of simplifying radical expressions?

Accepted Answer

radicand

Answer

radical

Answer

index

Answer

exponent

Question 8

Write the expression in the simplest radical form:

$$5c^{\frac{4}{5}}d^{\frac{1}{5}}$$

Accepted Answer

$$5\ \sqrt[5]{c^4d}$$

Answer

$$5\ \sqrt[]{c^4d}$$

Answer

$$\sqrt[]{5c^4d}$$

Answer

$$\sqrt[5]{5c^4d}$$

Question 9

Write the expression in exponential form:

$$\sqrt[3]{14x^7y^4}$$

Accepted Answer

$$14^{\frac{1}{3}}x^{\frac{7}{3}}y^{\frac{4}{3}}$$

Answer

$$14x^{\frac{7}{3}}y^{\frac{4}{3}}$$

Answer

$$14x^{\frac{3}{7}}y^{\frac{3}{4}}$$

Answer

$$14^{\frac{1}{3}}x^{\frac{3}{7}}y^{\frac{3}{4}}$$

Question 10

Simplify: $$\sqrt[]{600x^9y^{16}}$$

Accepted Answer

$$10x^4y^8\ \sqrt[]{6x}$$

Answer

$$10x^4y^8$$

Answer

$$x^4y^8\ \sqrt[]{600x}$$

Answer

$$10x^4y^{8\ }\ \sqrt[]{6}$$

Question 11

Simplify:

$$\sqrt[3]{64a^6b^{12}}$$

Accepted Answer

$$4a^2b^4$$

Answer

$$8a^3b^6$$

Answer

$$8a^2b^3$$

Answer

$$4a^3b^6$$

Question 12

What should be the simplest form of the expression $$\sqrt[10]{\left(-5\right)^{10}}$$

Accepted Answer

5

Answer

$$-5$$

Answer

$$\left|5\right|$$

Answer

$$\left|-5\right|$$

Question 13

Which of the following radicals is NOT equal to 100?

Accepted Answer

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

Answer

$$10\ \sqrt[]{100}$$

Answer

$$20\ \sqrt[\ ]{25}$$

Answer

$$50\ \sqrt[]{4}$$

Question 14

What is the value of $$\sqrt[3]{27x^9y^{12}}$$ ?

Accepted Answer

$$3x^3y^4$$

Answer

$$3x^3y^4\ \sqrt[]{3}$$

Answer

$$3x^3y^4\ \sqrt[]{3x}$$

Answer

$$3x^3y^4\ \sqrt[]{3y}$$

Question 15

Which of the following is equivalent to $$\sqrt[]{18x^4y^6}$$ ?

Accepted Answer

$$3x^2y^3\ \sqrt[]{2}$$

Answer

$$3x^2y^3\ \sqrt[]{6}$$

Answer

$$6x^2y^3\ \sqrt[]{3}$$

Answer

$$6x^2y^3\ \sqrt[]{2}$$

Question 16

What is the simplest form of $$-5\ \sqrt[]{p^8q^{10}}$$ ?

Accepted Answer

$$-5p^4q^5$$

Answer

$$-5p^4q^5\ \sqrt[]{pq}$$

Answer

$$-5p^4q^5\ \sqrt[]{p}$$

Answer

$$-5p^4q^5\ \sqrt[]{q}$$

Question 17

What is the cube of $$-8$$ ?

Accepted Answer

$$-\ 512$$

Answer

2

Answer

$$-2$$

Answer

$$512$$

QUIZ #4.1A (SIMPLIFYING RADICALS) - EMERALD

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