Question

a. simplyfy 5√8-√18 -6√32

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Answer 1

Simplify -

=> 5√8 - √18 - 6√32

Solution -

=> 5√8 - √18 - 6√32

=> 5 × 8^½ - [ 2 × 9 ]^½ - 6 × [ 32 ]^½

=> 10 √2 - [ 2 × 3² ]^½ - 6 × [ 4² × 2 ]½

=> 10√2 - 3√2 - 24√2

=> 10√2 - 27√2

=> -17√2 .

Thus , the required answer is -17√2 .

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Additional Information -

√a • √b = √ab .

√a / √b = √ [ a / b ]

[n]√a = a^(1/n) .

√ a^n = a^( n/2)

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Answer 2

Given:-

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$\bf \implies5 \sqrt{8} - \sqrt{18} - 6 \sqrt{32}$

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To Find:-

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$\bf \implies The\: Solution$

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STEP BY STEP EXPLANATION:-

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$\bf \implies10\sqrt{2} - \sqrt{18} - 6 \sqrt{32}$

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$\bf \implies10\sqrt{2} - 3 \sqrt{2} - 6 \sqrt{32}$

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$\bf \implies - 17 \sqrt{2}$