Q29. - Algebra 1

Question

Simplify each square root.

$-\sqrt{6.25}$

Step-by-Step Solution

Answer

The square root of the number is $-2.5$.

Step 1. Write as fraction.

We can write 6.25 as $\frac{625}{100}$.

Step 2. Identify perfect square.

We know that $625={25}^2$ and $100={10}^2$.

Step 3. Square root of the perfect square.

Since $625={25}^2$ and $100={10}^2$. So, we can write $-\sqrt{6.25}=-\sqrt{\frac{625}{100}}=-\sqrt{\frac{{25}^2}{{10}^2}}$.

Step 3. Cancel square and square root

$-\sqrt{\frac{{25}^2}{{10}^2}}=-\frac{25}{10}$

Step 4. Simplify the fraction.

We will simplify $\frac{25}{10}$ by turning it to decimal.

We know that $\frac{25}{10}=2.5$.

 

So, $-\frac{25}{10}=-2.5$.