How do you find the square root of 300?

Square root of a number is the value that returns the original number on multiplied by itself. Finding square root by prime factorisation is an easy method. We need to factories the number under the root and pair them in two.

Finding the square root of 300 in radical form

We will find the square root of 300 by prime factorisation method

The prime factorisation of 300 can be written as:

Step 1: Find the prime factors of 300

300÷ 2 = 150

150 ÷ 2 = 75

75 ÷ 5 = 15

15 ÷ 5 = 3

3 ÷ 3 = 1

300 = 2 X 2 X 5 X 5 X 3

Step 2: Pairing the factors

300 = (2×2)x(5×5)x3

√300 = √ (2×2)x(5×5)x3

√300 = 2 x 5 √3

√300=10√3

Answer

Hence, the square root of 300 = √300=10√3

Leave a Comment

Your email address will not be published. Required fields are marked *

BOOK

Free Class