What is the square root of 36?

The square root of 36 is 6, because 6 multiplied by itself (6 * 6) equals 36. Therefore, √36 = 6.

What is the rule for multiplying square roots?

You can multiply square roots by multiplying the values inside the square roots. For example, √a * √b = √(a*b).

If x = 9, what is √(3x)?

Hint: Substitute x into the expression and simplify.

Substituting x = 9 gives us √(3 * 9) = √27. Since √27 = 3√3, the answer is 3√3.

Solve for z: √(z + 5) = 7.

Hint: Square both sides to eliminate the square root.

Squaring both sides gives (√(z + 5))² = 7², which simplifies to z + 5 = 49. Subtracting 5 from both sides gives z = 44.

What is the square root of 49?

The square root of 49 is 7, because 7 multiplied by itself (7 * 7) equals 49. Therefore, √49 = 7.

What is the formula for the square of a binomial: (a + b)²?

(a + b)² = a² + 2ab + b². This is useful for expanding expressions that include square roots.

If a = 64, what is √(a)?

Hint: Replace a with its value and simplify.

Substituting a = 64 gives us √(64) = 8. Therefore, the answer is 8.

What is the product of √2 and √8?

The product is √(2 * 8) = √16 = 4.

If y = 25, what is √(y - 20)?

Hint: Substitute y into the expression and simplify.

Substituting y = 25 gives us √(25 - 20) = √5. Therefore, the answer is √5.

What is the square root of 0?

The square root of 0 is 0, because 0 multiplied by itself equals 0. Therefore, √0 = 0.

What is the rule for subtracting square roots?

You can only subtract square roots if the values inside the square roots are the same. For example, √a - √a = 0, but √2 - √3 cannot be simplified further.

If x = 4, what is √(x² + 4)?

Hint: Substitute x into the expression and simplify.

Substituting x = 4 gives us √(4² + 4) = √(16 + 4) = √20 = 2√5.

What is the square root of a perfect square, such as 144?

The square root of 144 is 12, since 12 multiplied by itself (12 * 12) equals 144. Therefore, √144 = 12.

If z = 81, what is √(z/9)?

Hint: Substitute z into the expression and simplify.

Substituting z = 81 gives us √(81/9) = √9 = 3.

What is the value of √(x²) for any real number x?

The value of √(x²) is |x|, which represents the absolute value of x.

What is the sum of √3 and √3?

The sum is 2√3, since √3 + √3 = 2√3.

If a = 16, what is √(a + 15)?

Hint: Substitute a into the expression and simplify.

Substituting a = 16 gives us √(16 + 15) = √31. The answer is √31.

What is the square root of 1?

The square root of 1 is 1, because 1 multiplied by itself equals 1. Therefore, √1 = 1.

If b = 36, what is the value of √(b) - √(16)?

Hint: Calculate each square root separately.

Calculating separately gives √(36) - √(16) = 6 - 4 = 2.

What is the square of the square root of a number x?

The square of the square root of x is x itself, given that x is non-negative. Therefore, (√x)² = x.