Simplify. Assume that the variable represents a positive real number sqrt[(7c)]^2

asked Apr 26, 2023 185k views

2 votes

by RKC

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3 votes

Answer:
$^{}(\sqrt[]{7c}^{})^2=7c$

Step-by-step explanation:

Given

$^{}(\sqrt[]{7c}^{})^2$

This can be written as:

$\begin{gathered} ((7c)^{(1)/(2)})^2 \\ \\ =(7c)^{(2)/(2)} \\ \\ =(7c)^1=7c \end{gathered}$

Torben answered May 1, 2023

4.8k points

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