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Question

If 5+237+43=a+b3. Then, the value of a = and b =


A
11
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B
9
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C
6
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D
-6
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Solution

The correct options are
A 11
D -6
5+237+43can be simplified by rationalizing the denominator (7+43). We can rationalize the given denominator by multiplying the given number (7+43)with its rationalizing factor (743).

Multiplying the numerator and denominator with (743), we get

(5+23)(743)(7+43)(743)=35+1432038(33)(7)(7)(4×4)(3×3)

=3563244948

=1163

On comparing, with a+b3, we get a=11,b=6

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