For any 2 positive number (root a+ root b) (root a- root b) = a-b
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Answered by
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
0
Answer:
Step-by-step explanation:
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