Question

Simplify each square root.

$\sqrt{1.44}$

Short answer

The square root of the number is 1.2.

Step-by-step solution

Step 1. Write as fraction.

We can write 1.44 as $\frac{144}{100}$.

Step 2. Identify the perfect square.

We know that $144={12}^2$ and $100={10}^2$.

Step 3. Square root of the perfect square.

Since $144={12}^2$ and $100={10}^2$. So, we can write$\sqrt{\frac{144}{100}}=\sqrt{{\left(\frac{12}{10}\right)}^2}=\frac{12}{10}$

Step 3. Simplify the fraction.

We will simplify $\frac{12}{10}$by turning it to decimal.

$\frac{12}{10}=1.2$