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Yanka [14]
3 years ago
14

Simplify  ( √ 5 ) ( 3 √ 5 )

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
8 0

Answer:

5^\frac{5}{6}

Step-by-step explanation:

\sqrt{5} can be represented as 5^{\frac{1}{2}} and \sqrt[3]5} can be represented as 5^{\frac{1}{3}}. Therefore, the expression can be rewritten as:

5^{\frac{1}{2}}*5^{\frac{1}{3}}

The rule for multiplying two exponents with the same base is you add the exponents. For example: x^m*x^k=x^{m+k}

We can use the same property to get:

5^{\frac{1}{2} +\frac{1}{3}}

which is just 5^\frac{5}{6} after you add the fractions

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