Understanding Distribution Involving Radicals

The video tutorial explains how to perform distribution involving radicals. It begins with a review of multiplying radicals, emphasizing the importance of having the same index, multiplying coefficients, and simplifying the product. The first example demonstrates distributing the square root of 7 across a binomial expression, highlighting the identification of perfect square factors for simplification. The second example involves distributing the square root of 3, with attention to terms not under the radical. The tutorial concludes with a reminder of the commutative property of addition.

What is the first step when multiplying radicals with the same index?

• Divide the radicands

• Subtract the radicands

• Multiply the coefficients

• Add the coefficients

In the expression √7 × (√14 - √2), what is the result of distributing √7 over √14?

• √21

• √98

• √28

• √49

How can the expression √7 × √14 be simplified?

• 14√7

• √49

• √98

• 7√2

What is the simplified form of √7 × √2?

• √49

• 7√2

• √14

• 2√7

In the expression √3 × (5 + √3), what is the result of distributing √3 over 5?

• √8

• 5√3

• √15

• 3√5

What is the simplified form of √3 × √3?

• 3

• √6

• 9

• √9

How can the expression 5√3 + 3 be rearranged using the commutative property?

• 8√3

• 3√3 + 5

• 5 + 3√3

• 3 + 5√3

What is the main takeaway from the video on distributing radicals?

• Always add the radicands

• Simplify the expression whenever possible

• Multiply only the coefficients

• Radicals cannot be distributed