Exploring Adding and Subtracting Radical Expressions

What must be true for terms to be added or subtracted in radical expressions?

• They must have the same coefficient.

• They must have the same radicand.

• They must be perfect squares.

• They must be whole numbers.

Tags

CCSS.HSN.RN.A.2

How can you simplify the square root of 20?

• By rewriting it as the square root of 10 times the square root of 2.

• By rewriting it as the square root of 5 times the square root of 4.

• By rewriting it as the square root of 4 times the square root of 5.

• By rewriting it as the square root of 2 times the square root of 10.

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

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

• 2 root 4

• 2 root 2

• 4 root 2

• 4 root 4

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

In the expression root 5 plus 2 root 5, what is the result?

• 3 root 10

• root 10

• 2 root 10

• 3 root 5

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

How do you treat radicals when combining like terms?

• As if they are constants.

• As if they are variables.

• As if they are coefficients.

• As if they are exponents.

Tags

CCSS.HSN.RN.A.2

What is the simplified form of 5 root 2 minus 2 root 2?

• 7 root 4

• 7 root 2

• 3 root 2

• 3 root 4

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

How do you rationalize the denominator of 20 over root 5?

• Multiply by root 5 over root 5.

• Multiply by 5 over root 5.

• Multiply by root 5 over 5.

• Multiply by 5 over 5.

Tags

CCSS.HSN.RN.A.2

What is the result of combining 4 root 2, -6 root 2, and 14 root 2?

• 12 root 2

• 2 root 2

• 22 root 2

• 4 root 2

Tags

CCSS.HSA.APR.A.1

CCSS.HSN.RN.A.2

What is the simplified form of 12 divided by the square root of 2?

• 6 root 2

• 12 root 2

• 6 root 4

• 12 root 4

Tags

CCSS.HSN.RN.A.2

What is the final simplified form of 9 over root 15?

• 9 root 15 over 15

• 3 root 15 over 15

• 9 root 15 over 5

• 3 root 15 over 5

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2