# Square root of 40 as a fraction is expressed as?

A fraction can be a portion or section of any quantity out of a whole, where, the whole can be any number, a specific value, or a thing.

## Answer: Square root of 40 as a fraction is 158/25.

Let's look into the following steps

**Explanation:**

Let us convert √40 into a fraction

**Step 1: **Let us simplify √40 by breaking 40 into its prime factors.

√40 = √ (2 × 2 × 2 × 5) = 2√10

**Step 2:** Convert 2√10 to a decimal and then to a fraction

Considering √10 ≈ 3.16

2√10 = 2(3.16) = 6.32 = 632/100

**Step 3:** Find the HCF or the highest common factor of 632 and 100.

HCF (632,100) = 4

**Step 4:** Divide the numbers by the HCF to get the fraction in its simplest form

⇒ (632 / 4) / (100 / 4) = 158 / 25