root5 +root3 by root5 - root 3 = а- b root15
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Question :
Process :
- First we have to rationalize the denominator on the left hand side
- Then we need to simplify them
- And at last we need to compare both the sides to get the value of a and b
Solution :
Using formula (a + b)(a – b) = a² – b² to get the denominator
Here,
- a² → (√5)²
- b² → (√3)²
Using formula (a+b)² = a² + b² + 2ab to get the numerator
Here,
- a² → (√5)²
- b² → (√3)²
- 2ab → 2•√5•√3
Comparing both sides we get
- a → 4
- b → -1
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