please help me
solve
this sum
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Solution
Given :-
- (5+3√2)/(5-3√2) = a + b√2
Find :-
- Value of a & b
Explanation
We Have,
==> (5+3√2)/(5-3√2) = a + b√2
Rationalize Denominator ,
==> (5+3√2)(5+3√2)/(5-3√2)(5+3√2) = a + b√2
==> [ 5² + (3√2)² + 2 * 5 * 3√2]/[(5)² - (3√2)²] = a + b√2
==> (25+18+30√2)/(25-18) = a + b√2
==> (43 + 30√2)/7 = a + b√2
==> 43/7 + 30√2/7 = a + b√2
Compare Both Side
- a = 43/7
- b = 30/7
Hence
- Value of a will be = 43/7
- Value of b will be = 30/7
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