Solve the Square Root Equation: √x = 6

Question

x=6 \sqrt{x}=6

Video Solution

Solution Steps

00:03 Let's find the value of X in this equation.
00:07 To solve this, we'll square both sides of the equation to isolate X.
00:14 Notice that the square and the square root cancel each other out, making our equation simpler.
00:23 Now, let's calculate the exponent to find X.
00:27 And there we have it! This is our solution to the equation. Good job following along!

Step-by-Step Solution

To solve this problem, we will perform the following steps:

  • Step 1: Square both sides of the equation x=6 \sqrt{x} = 6 .
  • Step 2: Simplify the equation to find x x .

Let's carry out each step in detail:

Step 1: Square both sides of the equation:
 (x)2=62\ (\sqrt{x})^2 = 6^2

Step 2: Simplify the equation:
Since (x)2=x(\sqrt{x})^2 = x, we have x=36 x = 36 .

Therefore, the value of x x is 36.

Answer

36