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Shalnov [3]
3 years ago
12

Write the expression without radicals, using only positive exponents

Mathematics
2 answers:
Mamont248 [21]3 years ago
7 0

Answer:

\sqrt[3]{a^{2}+b^{2}}=(a^{2}+b^{2})^{\frac{1}{3}}

Step-by-step explanation:

∵∛x = (x)^1/3

∴ \sqrt[3]{a^{2}+b^{2}}=(a^{2}+b^{2})^{\frac{1}{3}}

So you can replace the radicals by fractional exponents

marusya05 [52]3 years ago
4 0

Answer:

The required expression is: \sqrt[3]{a^2+b^2}=(a^2+b^2)^{\frac{1}{3}.

Step-by-step explanation:

Consider the provided expression.

\sqrt[3]{a^2+b^2}

Now use the property: \sqrt[n]{x+y}=(x+y)^{\frac{1}{n}}

By using the above property the provided expression can be written as:

\sqrt[3]{a^2+b^2}=(a^2+b^2)^{\frac{1}{3}

Therefore, the required expression is: \sqrt[3]{a^2+b^2}=(a^2+b^2)^{\frac{1}{3}.

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