Question

pls help me slove this somes
RATIONALISE THE DENOMINATORS OF
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Answer 1

Step-by-step explanation:

Hi,

LHS =(√2+√3)/(3√2-2√3)

= [(√2+√3)(3-√2+2√3)]/[(3√2-2√3)(3-√2+2√3)]

=[6+2√6+3√6+6]/[(3-√2)²-(2√3)²]

= [12+5√6]/[18-12]

= ( 12 +5√6 )/6

= 12/6 +5√6/6

= 2 + (5/6)√6 ---(1)

= a +b√6-------(2)

Compare (1) and (2), we get

a = 2, b = 5/6

I hope this helps you.

:)

Answer 2

Here is your answer. Hope it helps :) . You can leave the last step also without writing (-) in the numerator .