Question

Number of simplest rationalizing factors of $\sqrt{8}$
Options :-
1) 3
2) 2
3) 1
4) infinite

Answer 1

Answer:

Rationalising factor of √8 is √2.

Step-by-step explanation:

8 can be written as a product of primes as 2*2*2

therefore, √8 = √(2*2*2)

therefore, √8 = √(4*2)

so, √8 = 2√2

Now, rationalising factor is the least number which on multiplying with the given irrational number gives the product as a rational number.

Here, in the case of √8, the rationalising factor shall be √2.

As, √8 * √2 = √16

√16 = 4.

Therefore, rationalising factor of √8 is √2.