Question

give 2 examples of prime factorisation and find the square root​

Answer 1

√8 = √(2 x 2 x 2) = √2

√81 = √(3 x 3 x 3 x 3)

√81 = 3 x 3 = 9.

√324 = √(2 x 2 x 3 x 3 x 3 x 3)

√324 = 2 x 3 x 3 = 18

Answer 2

Answer:

Square root

A number which multiplied by itself to produce the original number is called the square root of that original number.

Example:

Square root of 16 is = √16 =4

∵4×4=16

Prime factorisation

Example:

To find the square root of 256.

Solution:

First we make the prime factor of 256

256=2×2×2×2×2×2×2×2

Now, making pairs

= 2×2×2×2×2×2×2×2

Take one factor from each pair and find the product.

⇒2×2×2×2 = 16

∴√256 = 16