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KonstantinChe [14]
3 years ago
7

Question one answer: S²=3V/H

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
3 0

Answer:

\ S=\sqrt{\dfrac{3V}{H}}}

Step-by-step explanation:

The opposite operation of squaring is taking the square root.

\ S=\sqrt{\dfrac{3V}{H}}}

We know that the denominator of a fractional power is the index of the corresponding root:

\displaystyle x^\frac{1}{n}=\sqrt[n]{x}

For n=2, we don't usually write the index in the root symbol:

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

In the case of this problem, ...

(S^2)^{\frac{1}{2}}=\left(\dfrac{3V}{H}\right)^{\frac{1}{2}}\\\\S=\sqrt{\dfrac{3V}{H}}

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