Question

Solve 272 - 10 = r2 using square roots. Select the solution(s).

Answer 1

$r^2=272-10$

Calculate the square root in both sides of the calculation:

Distribute the square roots

Simplify the square roots.

$\begin{gathered} 272=16\cdot17 \\ \sqrt[]{272}=\sqrt[]{16}\cdot\sqrt[]{17} \\ \sqrt[]{272}=4\cdot\sqrt[]{17} \end{gathered}$

Then:

$\begin{gathered} \sqrt[]{r^2}=\sqrt[]{272-10} \\ r=\sqrt[]{272}-\sqrt[]{10} \\ r=4\sqrt[]{17}-\sqrt[]{10} \end{gathered}$