Q25. - Algebra 1

Question

Simplify each square root. 

$+\sqrt{\frac{16}{49}}$

Step-by-Step Solution

Answer

The square root of the number is $+\frac{4}{7}$.

Step 1. Identify the perfect square.

We know that $16=4^2$ and $49=7^2$.

Step 2. Square root of the perfect square.

Since $16=4^2$ and $49=7^2$. So, we can write $+\sqrt{\frac{16}{49}}=+\sqrt{{\left(\frac{4}{7}\right)}^2}$

Step 3. Cancel square and square root.

$+\sqrt{{\left(\frac{4}{7}\right)}^2}=+\frac{4}{7}$