# Simplify Square Root of 50 in Simplest Radical Form

The square root of 50 in the simplest radical form is 5√2. In this post, we will learn how to find the simplified radical form of root 50.

## How to Simplify Root 50

To simplify the square root of 50 in simplest radical form, we need to follow the steps provided below.

Step 1: At first, we will factorise the number 50. Note that 50 is divisible by 2 and can be written as

50 = 2 × 25.

And 25 can be expressed as

25 = 5 × 5

Thus, 50 = 2 × 5 × 5 …(∗)

This is the prime factorization of 50.

Step 2: Now, taking square root on both sides of (∗), we get that

$\sqrt{50}$ $=\sqrt{2 \times 5 \times 5}$

= $\sqrt{2}$ × $\sqrt{5 \times 5}$

= √2 × 5 using the formula √(a×a) =a

= 5√2.

So 5√2 is the simplified radical form of the square root of 50. In other words,

√50 = 5√2.

Video Solution on How to Simplify Root 50:

## FAQs

### Q1: What is the lowest radical form of root 50?

Answer: The lowest radical form of the square root of 50 is equal to 5√2.