Solve the Square Root Equation: Finding X in √x = 7

Question

x=7 \sqrt{x}=7

Video Solution

Solution Steps

00:00 Find X
00:03 Square both sides to isolate X
00:11 Square and root cancel each other out
00:15 Calculate the exponent
00:18 And this is the solution to the problem

Step-by-Step Solution

To solve this problem, we will eliminate the square root by squaring both sides of the equation.

  • Step 1: Start with the given equation:
    x=7\sqrt{x} = 7
  • Step 2: Square both sides of the equation to eliminate the square root:
    (x)2=72(\sqrt{x})^2 = 7^2
  • Step 3: Simplify both sides:
    x=49x = 49
  • This calculation shows that when the square root of x x is 7, the value of x x must be 49 to satisfy the equation.

Therefore, the solution to the problem is x=49 x = 49 . This matches the correct choice from the given multiple-choice options.

Answer

49