Rationalize thr denominator and find its value if √2=1.414 . (6+√2)÷(6+-√2)
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Solution :
It is given that,
√2 = 1.414,
Now ,
(6+√2)/(6-√2)
= [(6+√2)(6+√2)]/[(6-√2)(6+√2)]
= (6+√2)²/[6²-(√2)²]
= [6² + (√2)²+2×6×√2]/(36-2)
= (36+2+12√2)/34
= (38+12√2)/34
= [2(19+6√2)]/(2×17)
= (19+6√2)/17
= (19+6×1.414)/17
= (19+8.484)/17
= 27.484/17
••••
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