Find the value of 'a' and 'b' if 1/(7+3root2)=a+broot2
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a+b√2=1/(7+3√2)
=(7-3√2)/(7+3√2)(7-3√2)
=(7-3√2)/{7²-(3√2)²}
=(7-3√2)/(49-18)
=(7-3√2)/31
=7/31+(-3/31)√2
equating both sides, a=7/31 and b=-3/31
=(7-3√2)/(7+3√2)(7-3√2)
=(7-3√2)/{7²-(3√2)²}
=(7-3√2)/(49-18)
=(7-3√2)/31
=7/31+(-3/31)√2
equating both sides, a=7/31 and b=-3/31
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