Question

What are the steps to solving 7=r^1/2??

Answer 1

Answer:

Take the square of each side to get r=49

Step-by-step explanation:

7=r^1/2

^ 1/2  means the square root

The inverse is squaring

So we take the square  of each side

7^2=r^1/2^2

7^2 = r

49 =r

Answer 2

Answer:

r = 49

Step-by-step explanation:

$Domain:\ r\geq0\\\\a^{\frac{1}{n}}=\sqrt[n]{a}\\\\\text{Therefore}\ r^{\frac{1}{2}}=\sqrt[2]{r}=\sqrt{r}.\\\\r^{\frac{1}{2}}=7\\\\\sqrt{r}=7\qquad\text{square both sides}\\\\\left(\sqrt{r}\right)^2=7^2\qquad\text{use}\ (\sqrt{a})^2=a\\\\\boxed{r=49}$