Solving nth root equations Quiz 1

Question 1

Simplify: $$\dfrac{\sqrt[6]{729}	imes \sqrt[7]{128}}{\sqrt[5]{1024}}$$

Accepted Answer

$$\dfrac{3}{2}$$

Answer

$$3$$

Answer

$$\dfrac{2}{3}$$

Answer

$$4$$

Question 2

Simplify: $$\dfrac{\sqrt[4]{0.0001}	imes \sqrt[2]{0.01}}{\sqrt[3]{0.001}	imes \sqrt[5]{0.00001}}$$

Accepted Answer

1.0

Answer

0.1

Answer

0.01

Answer

1.1

Question 3

Solve for x: $${{(x+17)}^{3}}+317=20000$$

Accepted Answer

10

Answer

8

Answer

2

Answer

5

Question 4

Simplify: $$\sqrt{\left( \sqrt[(n-1)]{\dfrac{{{({{x}^{n}})}^{n}}}{x}} ight)	imes \left( \sqrt[n+1]{\dfrac{x}{{{({{x}^{n}})}^{n}}}} ight)}$$

Accepted Answer

$$x$$

Answer

$${{x}^{2}}$$

Answer

$$\sqrt{x}$$

Answer

$${{x}^{\frac{3}{2}}}$$

Question 5

Find the value of n, if $$\sqrt[n-3]{81}=\sqrt[4]{6561}$$

Accepted Answer

$$5$$

Answer

$$4$$

Answer

$$7$$

Answer

$$6$$