What is a square root?

The Square Root Of A Number Is A Value That, When Multiplied By Itself, Gives The Original Number. For Example, √9 = 3 Because 3² = 9.

What is the rule for multiplying square roots?

To Multiply Square Roots, Multiply The Values Inside The Square Roots And Then Find The Square Root Of The Result. For Example, √2 * √8 = √(2*8) = √16 = 4.

What is a tip for simplifying square roots?

To Simplify Square Roots, Find The Prime Factors Of The Number Inside The Square Root And Look For Pairs Of Factors. For Example, √18 = √(9*2) = 3√2.

Solve for x: √x = 5.

Hint: Square both sides to eliminate the square root.

Square Both Sides: (√X)² = 5², Which Simplifies To X = 25.

Solve the equation: √(x + 3) = 7.

Hint: Start by squaring both sides to remove the square root.

Square Both Sides: (√(X + 3))² = 7², Which Simplifies To X + 3 = 49. Subtract 3 From Both Sides: X = 46.

What is the rule for dividing square roots?

To Divide Square Roots, Divide The Values Inside The Square Roots And Then Find The Square Root Of The Result. For Example, √(16/4) = √16 / √4 = 4 / 2 = 2.

Find the value of √(x²) when x = 3.

Hint: Substitute the value of x into the expression.

Substituting X = 3 Gives √(3²) = √9 = 3.

If √x = 12, what is x?

Hint: Square both sides to find the value of x.

Square Both Sides: (√X)² = 12², Which Simplifies To X = 144.

What is the simplified form of √(50)?

The Simplified Form Is √(25*2) = 5√2.

Estimate the value of √20.

Hint: Find the closest perfect squares.

√20 Is Between √16 (4) And √25 (5), So It Is Approximately 4.5.

If 4√x = 20, what is the value of x?

Hint: First, divide both sides by 4.

Dividing By 4 Gives √X = 5. Then Square Both Sides: X = 25.