Question

Simplify:

a)$\sqrt[3]{125}$

b)$\sqrt[4]{1296}$

c)role="math" localid="1650561443451" $\sqrt[5]{1024}$

Short answer

a) $\sqrt[3]{125}=5$

b) $\sqrt[4]{1296}=6$

c)$\sqrt[5]{1024}=4$

Step-by-step solution

Part (a) Step 1: Given Information

The given expression is$\sqrt[3]{125}$.

Part (a) Step 2: Simplification

As $125=5^3$

Expression becomes $\sqrt[3]{5^3}$

$=5$

Part (b) Step 1: Given Information

The given expression is$\sqrt[4]{1296}$

Part (b) Step 2: Simplification

As $1296=8^4$

Expression becomes $\sqrt[4]{8^4}$

$=8$

Part (c) Step 1: Given Information

The given expression is$\sqrt[5]{1024}$.

Part (c) Step 2: Simplification

As $1024=4^5$

Expression becomes $\sqrt[5]{4^5}$

$=4$