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emmasim [6.3K]
3 years ago
14

HELP WILL GIVE 50+ POINTS TO THE FIRST PERSON TO ANSWER PLZ HELP EXPLAIN IT ALL!!!!!!!!

Mathematics
1 answer:
Bogdan [553]3 years ago
3 0
No picture of the question
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Simplify the square root of 3 times the fifth root of 3.
bogdanovich [222]

Answer:

<h2><em>Three to the three fifths power.</em></h2>

Step-by-step explanation:

The given expression is

\sqrt{3\sqrt[5]{3} }

To simplify this expression, we have to use a specific power property which allow us to transform a root into a power with a fractional exponent, the property states:

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Applying the property, we have:

\sqrt{3\sqrt[5]{3}}=\sqrt{3(3)^{\frac{1}{5}}}=(3(3)^{\frac{1}{5}})^{\frac{1}{2}}

Now, we multiply exponents:

(3(3)^{\frac{1}{5}})^{\frac{1}{2}}\\3^{\frac{1}{2}}3^{\frac{1}{10}}

Then, we sum exponents to get the simplest form:

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Therefore, the right answer is <em>three to the three fifths power.</em>

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4 years ago
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