Maths-
General
Easy

Question

square root of 9 x squared end root
If x > 0, which of the following is equivalent to the given expression?

  1. 3x
  2. 3 x squared
  3. 18x
  4. 18 x to the power of 4

hintHint:

Hint:
A radical expression, also referred to as a n to the power of text th  end text end exponent  root, or simply radical, is an expression that involves a root.

The correct answer is: 3x


    Explanation:
    • We have given an expressionsquare root of 9 x squared end root , where x > 0 .
    • We have to find the equivalent expression of the given expression
    • We will use a basic exponent to solve this.
    Step 1 of 1:
    The given expression is square root of 9 x squared end root  .
    We can rewrite this as
    square root of 9 x squared end root
    square root of left parenthesis 3 x right parenthesis squared end root
    Now, we know that
    square root of x squared end root = x if x > 0 or square root of x squared end root = -x if x < 0
    Since here x>0
    = 3x > 0
    Therefore,
    square root of left parenthesis 3 x right parenthesis squared end root=3x


     

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