Question

Simplify:

a) $\sqrt[3]{27}$

b) $\sqrt[4]{16}$

c)$\sqrt[5]{243}$

Short answer

a) $\sqrt[3]{27}=3$

b) role="math" localid="1650560347087" $\sqrt[4]{16}=2$

c)$\sqrt[5]{243}=3$

Step-by-step solution

Part (a) Step 1: Given Information

The given expression is$\sqrt[3]{27}$.

Part (a) Step 2: Simplification

As $27=3^3$

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

$=3$

Part (b) Step 1: Given Information

The given expression is$\sqrt[4]{16}$.

Part (b) Step 2: Simplification

As $16=2^4$

Expression becomes $\sqrt[4]{2^4}$

=2

Part (c) Step 1: Given Information

The given expression is$\sqrt[5]{243}$.

Part (c) Step 2: Simplification

As $243=3^5$

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

$=3$