Question

Simplify each square root.

$\pm \sqrt{0.64}$

Short answer

The square root of the number is $\pm 0.8$.

Step-by-step solution

Step 1. Write as fraction.

We can write 0.64 as $\frac{64}{100}$.

Step 2. Identify perfect square.

We know that $64=8^2\mathrm{and}100={10}^2$.

Step 3. Square root of the perfect square.

Since $64=8^2$ and $100={10}^2$. So, we can write $\pm \sqrt{0.64}=\pm \sqrt{\frac{64}{100}}=\pm \sqrt{\frac{8^2}{{10}^2}}$.

Step 4. Cancel square and square root.

$\pm \sqrt{\frac{8^2}{{10}^2}}=\pm \frac{8}{10}$

Step 5. Simplify the fraction.

We will simplify $\frac{8}{10}$by turning it to decimal.

We know that $\frac{8}{10}=0.8$.

So,$\pm \frac{8}{10}=\pm 0.8$