Question

What value of x makes the expression equivalent to 12 square root of 33?

Answer 1

Answer:

x=9 option B)

Step-by-step explanation:

12×V(33)=4×V(33x)=4×V(33)×V(x)

Where V(33) is short for sqrt(33).

After symplifying with V(33) we get:

12=4×V(x)

V(x)=3

x=9

Answer 2

Answer:

B

Step-by-step explanation:

Consider the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇒ $\sqrt{ab}$

Given

4$\sqrt{33x}$ ← substitute x = 9

= 4$\sqrt{33(9)}$

= 4( $\sqrt{33}$ × $\sqrt{9}$)

= 4($\sqrt{33}$ × 3)

= 12$\sqrt{33}$

Thus the value of x is 9