Exploring Adding and Subtracting Rational Expressions

What is the first step when multiplying radicals?

• Multiply the coefficients

• Add the coefficients

• Subtract the radicands

• Multiply the radicands

In the example where 1 is multiplied by -3 and the radicands 8 and 2 are multiplied, what is the simplified result?

• -16

• -12

• -8

• -4

When multiplying 5 and -7, and the radicands 10 and 12, what is the simplified form of the resulting radical?

• -35√120

• -70√30

• -70√120

• -35√30

How do you handle the multiplication of variables inside radicals, such as n^2 and n?

• Multiply the exponents

• Subtract the exponents

• Divide the exponents

• Add the exponents

What is the simplified form of -5√20 * 3√15?

• -150√5

• -15√5

• -15√300

• -150√3

When simplifying the expression 10√2 * 3√10 - 6√5, what is the result?

• 60√5

• 24√5

• 54√5

• 30√20

In the expression 7x^3√6 + 2x^3√6, what is the combined result?

• 7x^3√12

• 9x^3√6

• 14x^3√6

• 9x^6√6

What is the simplified form of 3√6 + 4√3?

• 7√9

• 7√6

• 12√3

• Cannot be combined

When using the distributive property, what is the result of 2√15 + √75?

• 2√15 + 5√3

• 2√15 + 3√25

• 2√15 + 5√5

• 2√15 + 5√15

What is the result of squaring the binomial (2√7 + 1)?

• 4√49 + 2√7 + 1

• 4√49 + 4√7 + 1

• 4√7 + 4√7 + 1

• 4√49 + 4√7 + 1