Question

Question one answer: S²=3V/H


What is the opposite operation of squaring? Using this opposite operation, rewrite the equation from question 1 so s is by itself on one side of the equation.


Step by step answer

Answer 1

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, ...

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