Dividing Radical Expressions Quiz

What is the primary goal when dividing radical expressions?

• To add more radicals to the expression

• To remove radicals from the numerator

• To eliminate radicals from the denominator

• To multiply the expression by zero

In problem 9, what is the result of simplifying the expression after removing the radical from the denominator?

• Square root of 10X divided by 15

• Square root of 5X divided by 10

• Square root of 15X divided by 20

• Square root of 20X divided by 25

How do you simplify Y to the sixth under a square root?

• Multiply the exponent by 2

• Subtract 2 from the exponent

• Raise it to the power of 3

• Divide the exponent by 2

In problem 10, what is the simplified form of the expression after removing the radical from the denominator?

• Square root of 15 over 15Y

• Square root of 6 over 6Y

• Square root of 10 over 10Y

• Square root of 5 over 5Y

What is the first step in simplifying the expression in problem 11?

• Divide by the square root of 8A

• Add the square root of 8A

• Multiply by the square root of 8A

• Subtract the square root of 8A

In problem 12, what is the final simplified form of the expression?

• 3n times the square root of 10n plus 2 times the square root of 5n all over 10

• 3n times the square root of 5n plus 2 times the square root of 10n all over 10

• 3n times the square root of 5n plus 2 times the square root of 10n all over 5

• 3n times the square root of 10n plus 2 times the square root of 5n all over 5

In problem 13, what is the simplified form of the expression after multiplying by the square root of 3?

• 4x cubed times the square root of 3 minus 3 times the square root of x all over 3x

• 4x cubed times the square root of 3 plus 9 times the square root of x all over 9x

• 4x cubed times the square root of 3 minus 9 times the square root of x all over 9x

• 4x cubed times the square root of 3 plus 3 times the square root of x all over 3x

What is the first step in simplifying the expression in problem 14?

• Rewrite the square root of 3k to the third

• Multiply by the square root of 3k

• Subtract the square root of 3k

• Add the square root of 3k

In problem 14, what is the final simplified form of the expression?

• K times the square root of 15K minus 3 times the square root of 5 all over 3K

• K times the square root of 15K plus 3 times the square root of 5 all over 3K

• K times the square root of 15K minus 3 times the square root of 6 all over 3K

• K times the square root of 15K plus 3 times the square root of 6 all over 3K

What is the purpose of multiplying by the square root of 3k in problem 14?

• To add more terms to the expression

• To change the base of the expression

• To simplify the expression by removing radicals

• To increase the exponent of k