Question

12 root18+6root18-6root147+3root50​

Answer 1

Solution:

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i) √18 = √2×3×3 =3√2

ii) √147 = √7×7×3 = 7√3

iii) √50 = √2×5×5 = 5√2

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Now ,

12√18 + 6√18 - 6√147+3√50

= 12×(3√2)+6×(3√2)-6(7√3)+3(5√2)

= 36√2 + 18√2-42√3+15√2

= (36+18+15)√2 - 42√3

= 69√2 - 42√3

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