What is a square root? Hint: Remember that the square root is the inverse of squaring a number.

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? Hint: Multiply the numbers under the square root first, then take the square root of the product.

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? Hint: Break down the number under the square root into its prime factors.

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 of a binomial? Hint: Recall that it involves both the square of the first term and the square of the second term.

The formula for the square of a binomial (a + b)² is a² + 2ab + b². For example, (x + 2)² = x² + 4x + 4.

How can you determine if a number is a perfect square? Hint: Consider taking the square root and checking if it is an integer.

A number is a perfect square if its square root is an integer. For example, √16 = 4, which is an integer, so 16 is a perfect square.

Fill in the blank: The product of √a and √b is __________. Hint: Think about how to combine the two square roots.

The product of √a and √b is √(a*b).

Estimate √50 to the nearest whole number. Hint: Identify the two perfect squares between which 50 lies.

√50 is between √49 (7) and √64 (8). Thus, the estimate for √50 to the nearest whole number is 7.

If x² = 36, what are the possible values of x? Hint: Remember that squaring a number can yield both positive and negative roots.

The possible values of x are ±6, since √36 = 6 and -6.