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Question

Rationalise the denominator of 42+3+7

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Solution

42+3+7

4(2+3)+7

Rationalize the denominator

4(2+3)+7×(2+3)7(2+3)7

Denominator is in the form of (a+b)(ab)=a2b2

4(2+37)(2+3)2(7)2

4(2+37)22+(2×2×3)+(3)2(7)2

4(2+37)4+(4×3)+37

4(2+37)7+437

4(2+37)43

(2+37)3

Rationalize the denominator

(2+37)3×33

3(2+37)3

23+3213

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