Learn How to Solve a Square Root Equation

The video tutorial explains how to solve equations involving square roots by isolating the square root and then squaring both sides of the equation. The instructor demonstrates solving the equation 4x - 1 = 5, emphasizing the importance of leaving the solution as a fraction for easier verification. The tutorial concludes with a check of the solution, showing that both fractional and decimal forms yield the same result.

What is the first step in solving an equation involving a square root?

• Subtract a constant from both sides

• Multiply both sides by a number

• Isolate the square root

• Add a constant to both sides

After isolating the square root, what should be done next to solve the equation?

• Divide both sides by a constant

• Square both sides of the equation

• Add the same number to both sides

• Take the square root of both sides

Why might it be beneficial to leave a solution as a fraction rather than converting it to a decimal?

• Fractions simplify the verification process

• Fractions are more accurate

• Fractions are easier to add

• Fractions are easier to multiply

What happens when you multiply 4 by 26/4 in the verification process?

• You get 6.5

• You get 104

• The equation becomes unsolvable

• The 4s cancel out, leaving 26

What is the result of substituting the solution back into the original equation?

• The equation becomes inconsistent

• The solution changes

• The equation is verified as correct

• The equation becomes more complex