Simplifying Radicals with Variables

What is the first step in simplifying the square root of 80?

• Break 80 into factors

• Subtract 10 from 80

• Divide 80 by 2

• Multiply 80 by 2

Which method is used to simplify radicals in the video?

• Factorization method

• Division method

• Multiplication method

• Jailbreak method

How can x^3 be rewritten to simplify the square root of x^3?

• x minus x minus x

• x divided by x divided by x

• x plus x plus x

• x times x times x

What is the simplified form of the square root of x^3?

• x times the square root of x^2

• x^3 times the square root of x

• x times the square root of x

• x^2 times the square root of x

How many pairs of 'a' can be pulled out from a^6?

• 2 pairs

• 4 pairs

• 1 pair

• 3 pairs

What is the simplified form of the square root of a^6?

• a^2

• a^3

• a^4

• a^5

What is the pattern for simplifying radicals with large exponents?

• Multiply the exponent by 2

• Divide the exponent by 2

• Add 2 to the exponent

• Subtract 2 from the exponent

What happens to the remainder when dividing an odd exponent by 2?

• It is ignored

• It stays inside the radical

• It is added to the result

• It is subtracted from the result

How many pairs of 'y' can be pulled out from y^8?

• 2 pairs

• 3 pairs

• 4 pairs

• 5 pairs

What is the simplified form of the square root of 60xy^8z^11?

• 2y^4z^5 times the square root of 15xz

• 2y^3z^4 times the square root of 15xz

• 2y^4z^5 times the square root of 15x

• 2y^4z^5 times the square root of 15z