Evaluate the square root of 128 in radical form

We have to find the square root of 128 in radical form

Solution

We will use prime factorisation method to find the square root

√128 =

The first step is to divide the number 128 with the smallest prime factor, say 2.
128 ÷ 2 = 64

Again divide 64 by 2
64÷ 2 = 32

Again divide 32 by 2

32 ÷ 2 = 16

Again divide 16 by 2

16 ÷ 2 = 8

Again divide 8 by 2

8 ÷ 2 = 4

Again divide 4 by 2

4÷ 2 = 2

Again divide 2 by 2

2÷ 2 = 1

On combining factors we get

128 = 2×2×2×2×2×2×2

√128 = √(2 x 2 x 2 x 2 x 2 x 2 x 2)

On paring

√128 = √ (2 x 2 ) (2×2) (2 x 2) (2)

√128 = 8 √2

Answer

The square root of 128 = 8 √2

√128=8 √2

Was this answer helpful?

  
   

0 (0)

Upvote (0)

Choose An Option That Best Describes Your Problem

Thank you. Your Feedback will Help us Serve you better.

Leave a Comment

Your Mobile number and Email id will not be published. Required fields are marked *

*

*

BOOK

Free Class

Ask
Question