Question

Simplify: $\sqrt{100a^2{b}^2}$.

Short answer

The required answer is$10ab$.

Step-by-step solution

Step 1. Given information.

The given expression is:

$\sqrt{100a^2{b}^2}$

Step 2. Simplify the expression.

$\sqrt{100a^2{b}^2}$

Since ${\left(10ab\right)}^2=100a^2{b}^2$,

then,$\sqrt{100a^2{b}^2}=10ab$

Therefore, the value is$10ab$.