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What is the following product

What is the following product-example-1

2 Answers

3 votes
Answer:
\sqrt[6]{200}
User Rusfearuth
by
8.5k points
5 votes

Answer:

Option B.
\sqrt[6]{200}

Explanation:

The given expression is ∛5.√2 and we have to find the product.

In this question ∛5 can be written as
5^{(1)/(3) } and
√(2)=2^{(1)/(2)}

We know to multiply these terms we should have the same powers of both the terms.

Now we will convert these terms to the terms having same powers.

first term
5^{(1)/(3)}=5^{((1)/(3)).((2)/(2))}

=
5^{(2)/(6)}

=
25^{(1)/(6)}

Second term √2 =
2^{(1)/(2)}

=
2^{((1)/(2)).((3)/(3))}

=
2^{(3)/(6)}

=
8^{(1)/(6)}

Now we multiply these terms


25^{(1)/(6)}.8^{(1)/(6)}

=
200^{(1)/(6) }

Therefore option B is the answer.

User Yeseanul
by
8.4k points

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