If a and b are rational number 8 then ,
find the value of a and b
→√3+√2/√3-√2=a+b√6
Answers
Answered by
1
Explanation:
- a and b are rational numbers
- The value of a and b
Given,
Taking the LHS of the equation,
Rationalising the denominator by multiplying √3 + √2 on both numerator and denominator,
Simplifying by using identities:
(a + b)² = a² + b² + 2ab
(a + b) × (a - b) = a² - b²
But we know that,
Equating it we get,
- a = 5
- b = 2
Hence the value of a is 5 and value of b is 2.
Answered by
10
Explanation:
a and b are rational numbers
The value of a and b
Given,
Taking the LHS of the equation,
Rationalising the denominator by multiplying √3 + √2 on both numerator and denominator,
Simplifying by using identities:
(a + b)² = a² + b² + 2ab
(a + b) × (a - b) = a² - b²
But we know that,
Equating it we get,
a = 5
b = 2
Hence the value of a is 5 and value of b is 2.
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