Question

simplify ( root8 -root 2) (root8 +root2)​

Answer 1

Given expression:-

(√8-√2)(√8+√2)

Topic:-

Factorisation of algeberic expression

How to solve?

By using Algebric Identities

Solution:-

⇒ (√8-√2)(√8+√2)

Here we can see that it is in the form (a-b)(a+b)=a²-b², where value of a is √8 and b is √2.

So simplify it!

⇒ (√8-√2)(√8+√2)

⇒ [(√8)²-(√2)²]

⇒ [8-2]

⇒ 6

So the final answer is 6.

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