Question

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

Answer 1

r = 49

Explanation:

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

Answer 2

Take the square of each side to get r=49

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