Dividing Radical Expressions Quiz

Why is it important to remove radicals from the denominator when simplifying expressions?

• To increase the value of the expression

• To ensure the expression is in its simplest form

• To make the expression harder to understand

• To make the expression more complex

What is the first step in simplifying an expression with the square root of 20 in the denominator?

• Multiply by the square root of 20 over the square root of 20

• Subtract 20 from the denominator

• Add 20 to the numerator

• Divide the numerator by 20

How can the square root of 300 be simplified?

• By writing 300 as 150 times 2

• By writing 300 as 50 times 6

• By writing 300 as 200 times 1.5

• By writing 300 as 100 times 3

What is the simplified form of the square root of 8 over the square root of 100?

• Square root of 16 over 20

• Square root of 2 over 5

• Square root of 8 over 10

• Square root of 4 over 10

Which perfect square is used to simplify the square root of 162?

• 81

• 49

• 64

• 36

How is the expression 3 times the square root of 80 over 8 simplified?

• 3 times the square root of 10 over 4

• 3 times the square root of 20 over 8

• 3 times the square root of 5 over 2

• 3 times the square root of 15 over 5

What is the simplified form of 4 times the square root of 5 over 5?

• 4 times the square root of 5 over 5

• 4 times the square root of 5 over 10

• 4 times the square root of 5 over 1

• 4 times the square root of 5 over 25

What is the simplified form of the square root of 4 times 3 over 5 times the square root of 3 squared?

• 2 times the square root of 12 over 15

• 2 times the square root of 9 over 15

• 2 times the square root of 6 over 15

• 2 times the square root of 3 over 15

What is the simplified form of the square root of 15 over the square root of 3 squared?

• Square root of 15 over 3

• Square root of 15 over 9

• Square root of 15 over 6

• Square root of 15 over 12

What is the result of multiplying the square root of 2 by the square root of 3?

• Square root of 9

• Square root of 12

• Square root of 5

• Square root of 6