Exploring Multiplying Radicals

The video tutorial covers the process of multiplying radicals, starting with multiplying coefficients and radicands using the product rule. It demonstrates simplifying cube roots with a calculator and extends the concept to variables under radicals. The tutorial also explains distributing radicals across terms and squaring binomials with radicals using the FOIL method. Each step is illustrated with examples to ensure clarity.

What is the first step when multiplying radicals?

• Divide the radicands

• Add the coefficients

• Multiply the radicands

• Multiply the coefficients

What is the product of -4 and -2?

• -8

• 8

• 0

• 4

How do you simplify the cube root of a number using a calculator?

• Divide by x to the power of the index

• Multiply by x to the power of 3

• Divide by x to the power of 2

• Multiply by x to the power of the index

What is the simplified form of 8 times the cube root of 576?

• 32 times the cube root of 9

• 8 times the cube root of 9

• 32 times the cube root of 576

• 8 times the cube root of 36

When multiplying variables under a radical, what rule is used?

• Difference rule

• Quotient rule

• Product rule

• Sum rule

How many groups of four can be made from 11 Q's?

• 3

• 2

• 1

• 4

What is the result of multiplying 2 times the square root of 3 by the square root of 27?

• 2 times the square root of 81

• 2 times the square root of 54

• 2 times the square root of 9

• 2 times the square root of 3

Why can't you combine 18 and 48 times the square root of 2?

• They have different indices

• They have different radicands

• One is a whole number and the other is not

• They have different coefficients

What is the first step in squaring a binomial containing radicals?

• Square each term individually

• Multiply the binomial by itself

• Add the coefficients

• Subtract the radicands

What is the simplified form of (5√5 - 2)²?

• 125 - 20√5 + 4

• 25 - 20√5 + 4

• 125 - 10√5 + 4

• 25 - 10√5 + 4