Question

If √6x

can be simplified to 3√10
, what is the value of x?
A) 5
B) 15
C) 45
D) 90​

Answer 1

B) 15

Explanation:

sqrt(6x) = 3 sqrt(10)

Square each side

(sqrt(6x))^2 = (3 sqrt(10))^2

Remember (ab)^2 = a^2 b^2

6x = (3^2) sqrt(10))^2

6x = 9 * 10

6x = 90

Divide each side by 6

6x/6 = 90/6

x = 15