Question

An expression is shown below: 2√11x.

Which value of x makes the expression
equivalent to 6√11
A. 3
B. 9
C. 16
D. 36

Answer 1

To make the expression 2√11x equivalent to 6√11, the value of x is 9.

Step-by-step explanation:

To make the expression 2√11x equivalent to 6√11, we need to find the value of x.

First, we can simplify the expression on the left side: 2√11x = 2√11 * x = 2√(11x).

Now, we can set this expression equal to 6√11 and solve for x:

2√(11x) = 6√11

Dividing both sides by 2 gives:

√(11x) = 3√11

Squaring both sides to eliminate the square root gives:

11x = (3√11)2

11x = 9 * 11

11x = 99

Dividing both sides by 11 gives:

x = 9

Therefore, the value of x that makes the expression equivalent to 6√11 is 9 (option B).

Learn more about Solving algebraic expressions