Write as single radical √(2) * ∛(5)
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Write as single radical √(2) * ∛(5)

[From: ] [author: ] [Date: 11-07-19] [Hit: ]
I know how to do √ but not ∛.Also if you know how to raise the exponents.......
√(2) * ∛(5)

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1) One is square root and the other is cube root; LCM of both is 6.

2) So, √(2) = 2^(1/2) = 2^(3/6) = 6th root of 8

Similarly ∛(5) = 5^(1/3) = 5^(2/6) = 6th root 0f 25

3) Thus taking the product of both = 6th root of 200 = 200^(1/6)

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2 = ∛8
5 = √25

∛5 = ∛(√25) = 25^(1/6)
√2 = √(∛8) = 8^(1/6)

(√2)((∛8) = 200^(1/6) [sixth root of (25*8)]

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Is that square root of 2 times the square root of 5? (on phone so one character is missing) if so answer is square root of 10.

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I would love to know how you typed ∛ ? I know how to do √ but not ∛. Also if you know how to raise the exponents.

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(200)^(1/6)
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keywords: radical,radic,as,Write,single,Write as single radical √(2) * ∛(5)
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