Solve the Square Root Equation: √x = 6

x=6 \sqrt{x}=6

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
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 written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

x=6 \sqrt{x}=6

2

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.

3

Final Answer

36

Practice Quiz

Test your knowledge with interactive questions

\( 11^2= \)

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Powers and Roots - Basic questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations

Square Roots

Solve the Square Root Equation: Finding X in √x = 2²
Click to solve
Calculate Square Side Length: Finding x When Area = 256
Click to solve

Powers

Solve the Square Root Equation: Finding the Number Under √☐ = 8
Click to solve
Solve for the Base: Finding the Number Whose Sixth Power Equals 2^6
Click to solve