Question

Simplify each square root.

$\sqrt{361}$

Short answer

The square root of the number is 19.

Step-by-step solution

Step 1. Identify a perfect square.

361 is a perfect square. We know $361={19}^2$.

Step 2. The square root of the perfect square.

Since $361={19}^2$. So we can write $\sqrt{361}=\sqrt{{19}^2}$.

Step 3. Cancel square and square root.

$\sqrt{{19}^2}=19$