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If both a and b are rational numbers, then find thevalues of a and b in each case.(0)√3-113+1= a +b root3 |
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Answer» Answer: (a) RATIONALIZING the LHS of 3−
3+ 7
=a+b 7
. 3− 7
3+ 7
× 3+ 7
3+ 7
=a+b 7
(3) −( 7
) 2
(3+ 7
) 2
=a+b 7
9−7 9+7+6 7
=a+b 7
2 16+6 7
=a+b 7
8+3 7
=a+b 7
By comparing both sides, a=8,b=3 (b) Rationalizing the LHS of 7−4 3
5+ 3
=47a+b 3
. 7−4 3
5+ 3
=47a+b 3
7−4 3
5+ 3
× 7+4 3
7+4 3
=47a+b 3
(7) 2 −(4 3
) 2
(5+ 3
)(7+4 3
)
=47a+b 3
49−48 35+20 3
+7 3
+12
=47a+b 3
47+27 3
=47a+b 3
By comparing both sides, a=1,b=27 |
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