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.

Theres  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.