Multiplying Two Radical Binomials by Simplifying First

The video tutorial covers the multiplication of binomials and the properties of square roots. It explains how to simplify expressions by rewriting numbers in terms of square roots and emphasizes the importance of choosing divisors that include square numbers. The tutorial also distinguishes between monomials and binomials and demonstrates how to find simplified answers. The final section involves multiplying and simplifying expressions to achieve the most reduced form.

What is the result of multiplying sqrt(8) and sqrt(B) according to the property of square roots?

• sqrt(8) + sqrt(B)

• sqrt(8) * B

• sqrt(8 * B)

• 8 * B

Why is it beneficial to rewrite numbers in terms of square numbers when simplifying square roots?

• It makes the numbers larger.

• It makes the numbers smaller.

• It allows for easier addition.

• It helps in simplifying the square roots.

Which of the following is a simplified form of sqrt(20) when rewritten using square numbers?

• sqrt(4) * sqrt(5)

• sqrt(10) * sqrt(2)

• 5 * sqrt(2)

• 2 * sqrt(5)

What is the simplified result of multiplying 8 sqrt(3) and 6 sqrt(5)?

• 48 sqrt(15)

• 48 sqrt(8)

• 14 sqrt(15)

• 14 sqrt(8)

Why is it important to choose divisors that include square numbers when simplifying expressions?

• To make calculations faster.

• To ensure at least one divisor is a square number for simplification.

• To avoid using decimals.

• To increase the complexity of the problem.