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elena-s [515]
3 years ago
13

Write the radical into exponential form √8

Mathematics
2 answers:
OverLord2011 [107]3 years ago
6 0

Answer:

its \: value \: is \: 2(if \: we \: take \: cube \: root)and  \\ \: 2 \sqrt{2} \:  \:(  if \: we \: take \: square \: root) \\  \\ radical \: form \\  \\  \sqrt{8}  = 2 \times 2 {}^{ \frac{1}{2} }

Maksim231197 [3]3 years ago
5 0

Answer:

\sqrt{8} = 8^{\frac{1}{2}}

Step-by-step explanation:

Definition of fractional exponent:

a^{\frac{m}{n}} = \sqrt[n]{a^m} = (\sqrt[n]{a})^m

In this case, a = 8; m = 1; n = 2.

\sqrt[n]{a^m} = a^{\frac{m}{n}}

\sqrt[2] {8^1} = 8^{\frac{1}{2}}

\sqrt{8} = 8^{\frac{1}{2}}

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