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 the rule for adding square roots?

You can only add square roots when they have the same radicand (the number under the square root). for example, √2 + √2 = 2√2, but √2 + √3 cannot be simplified further.

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 value of √(16 + 9)?

√(16 + 9) = √25 = 5.

What is the formula for calculating the square of a binomial related to square roots?

The square of a binomial (a + b)² is equal to a² + 2ab + b². for example, (√2 + 3)² = (√2)² + 2(√2)(3) + 3² = 2 + 6√2 + 9 = 11 + 6√2.

If x = 36, what is √(x)?

If x = 36, then √(x) = √36 = 6.