Math, asked by ritikajakhotiya478, 5 months ago

For any 2 positive number (root a+ root b) (root a- root b) = a-b

Answers

Answered by CoruscatingGarçon
11

Answer:

To Prove : (√a + √b)(√a - √b) = a - b

Proof :

Method 1 -:

We know that,

(a + b)(a - b) = a^2 - b^2.

here,

a = √a and b = √b

So,

(√a + √b)(√a - √b) = (√a)^2 - (√b)^2

(√a + √b)(√a - √b) = a - b.

HENCE PROVED!!!!

Method 2 -:

=> (√a + √b)(√a - √b)

=> (√a * √a) + (√a * -√b) + (√b * √a) + (√b * -√b)

=> a - ab + ab - b

=> a - b

HENCE PROVED!!!!

PLS MARK IT BRAINLIEST AND FOLLOW ME!!!!!@!

Answered by hiyike7812
0

Answer:

Step-by-step explanation:

Lolololo

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