Question

write rationalising factor of root 8

Answer 1

Solution :

√8 = √(2×2)×2 = 2√2

Therefore ,

Rationalising factor of √8 = √2

Verification :

√8 × √2

= 2√2 × √2

= 4 ( Rational Number )

••••

Answer 2

Answer: √2 is the rationalising factor of root 8.

Step-by-step explanation:

Since, we can write,

$\sqrt{8}=\sqrt{2\times 2\times 2}$

$\sqrt{8}=\sqrt{2\times 4}$

$\sqrt{8}=2\times \sqrt{2}$

Thus, 2 and √2 are the factors of √8,

Since, 2 is a rational number while √2 is the irrational number,

⇒ We can make √2 a rational number by multiplying √2.

⇒ √2 is the rationalizing factor of √8.