Simplifying Square Roots with Variables

What is the first step in simplifying non-perfect squares inside square roots?

• Identify the perfect square factors

• Multiply the number by itself

• Subtract one from the number

• Divide the number by 2

How do you simplify an even power of a variable inside a square root?

• Multiply the power by 2

• Divide the power by 2

• Add one to the power

• Subtract one from the power

What do you do with an odd power of a variable inside a square root?

• Multiply the power by 2

• Leave the power as it is

• Add one to the power and divide by 2

• Subtract one from the power and divide by 2

When simplifying x^11 inside a square root, what is the first step?

• Divide 11 by 2

• Subtract 1 from 11

• Add 1 to 11

• Multiply 11 by 2

What is the simplified form of the square root of x^12?

• x^6

• x^4

• x^3

• x^2

How do you handle coefficients when simplifying radicals with variables?

• Combine them with the variables

• Ignore them

• Simplify them separately

• Multiply them by the variables

What is the simplified form of the square root of 40?

• 10√2

• 5√4

• 4√5

• 2√10

What is the simplified form of the square root of 20?

• 5√4

• 10√2

• 4√5

• 2√5

How do you prove that two radical expressions are equivalent?

• By adding them together

• By multiplying them together

• By simplifying both expressions and comparing

• By dividing one by the other

What is the simplified form of the square root of 50x^2y^2?

• 50xy√2

• 25xy√2

• 10xy√5

• 5xy√2