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 formula for the square root of a product?

The Formula States That √(A * B) = √A * √B. For Example, √(4 * 9) = √4 * √9 = 2 * 3 = 6.

What is the formula for the square root of a quotient?

The Formula States That √(A / B) = √A / √B. For Example, √(25 / 4) = √25 / √4 = 5 / 2.

If x = 16, what is √(x)?

Hint: Substitute x with its value.

√(16) = 4.

What does it mean if √x = -4?

Hint: Consider the properties of square roots.

There Is No Real Solution, As The Square Root Of A Number Cannot Be Negative.

Find the value of y if √(y + 5) = 3.

Hint: Isolate y by squaring both sides.

Square Both Sides: (√(Y + 5))² = 3², Simplifying To Y + 5 = 9. Thus, Y = 4.