What is the answer in simplest term?

3*sqrt(3x)

2x

Step-by-step explanation:

To rationalize the denominator, we need to get rid of the square root.  We need to multiply by sqrt(12x)/sqrt(12x)

9              sqrt(12x)

 *

sqrt(12x)      sqrt(12x)

9sqrt(12x)

12x

We can cancel  3 in the top and bottom

3sqrt(12x)

4x

We also notice that 12 is made up of 4 and 3

3sqrt(4) sqrt(3x)

4x

3sqrt(4) sqrt(3x)

4x

3*2sqrt(3x)

4x

We can cancel a 2 in the top and bottom

3*sqrt(3x)

2x

the correct answer is 1: 2

step-by-step explanation:

hope this your welcome : )

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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