Solve the Square Root Equation: √x = 15

Question

x=15 \sqrt{x}=15

Video Solution

Solution Steps

00:00 Find X
00:03 Square both sides to isolate X
00:10 Square and root cancel each other out
00:15 Break down the exponent into multiplication, and calculate
00:21 And this is the solution to the problem

Step-by-Step Solution

To solve the given problem, we will follow these steps:

  • Step 1: Square both sides of the equation
  • Step 2: Simplify to find x x

Now, let's work through each step:

Step 1: We are given x=15\sqrt{x} = 15.
To eliminate the square root, square both sides of the equation:

(x)2=152 (\sqrt{x})^2 = 15^2

Step 2: Simplify both sides:
On the left, (x)2=x(\sqrt{x})^2 = x.
On the right, 152=22515^2 = 225.

This gives us the equation:

x=225 x = 225

Thus, the solution to the problem is 225 \boxed{225} .

Answer

225