Math, asked by neha540, 1 year ago

Simplify √8+√18+√162+√75

Answers

Answered by abhi569
3
=> √8 + √18 + √162 + √75

=> √(2×2×2) + √(2×3×3) + √(2×3×3×3×3) + √(3×5×5)

=> 2√2 + 3√2 + 9√2 + 5√3

=> 14√3 + 5√3


I hope this will help you

-by ABHAY
Answered by pratik40
2
hi..
Simplification :

 \sqrt{8} + \sqrt{18} + \sqrt{162} + \sqrt{75} =

 \sqrt{4 \times 2} + \sqrt{9 \times 2} + \sqrt{81 \times 2} \\ + \sqrt{25 \times 3}

 = 2 \sqrt{2} + 3 \sqrt{2} + 9 \sqrt{2} + 5 \sqrt{3}

 = 5 \sqrt{2} + 9 \sqrt{2} + 5 \sqrt{3}

 = 14 \sqrt{2} + 5 \sqrt{3}

hence \: simplified

hope \: \: this \: \: helps...
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