Adding and Subtracting Square Roots

When adding or subtracting square roots, what number HAS TO BE THE SAME?

• The coefficient (number in front of square root)

• The radicand (number in square root)

• The numbers don't matter

• Both have to be the same

√8 - 6√2

• -4√2
• 2√2
• -6√6
• -6√10

Tags

CCSS.HSN.RN.A.2

√18 + √2

• √20
• 4√5
• 4√2
• 10√2

Tags

CCSS.HSN.RN.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

√5 + √20

• 5
• 25
• 3√5
• 2√3

Tags

CCSS.HSN.RN.A.2

CCSS.HSA.SSE.B.3

Simplify the following: 4√5 - 6√5 + 4√3 - 2√3

• 3√5 - 4√5 + 4√3 - 2√3
• -2√5 + 2√3
• √3
• 10√5 + 2√3

Tags

CCSS.HSN.RN.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

Simplify completely.

• 2√3
• -8√3
• 2√6
• -8√6

Tags

CCSS.HSN.RN.A.2

CCSS.HSA.SSE.B.3

 $3\sqrt{5}+7\sqrt{5}$  

•  $\sqrt{5}$  

•  $10\sqrt{10}$  

•  $10\sqrt{5}$  

•  $21\sqrt{5}$  

Tags

CCSS.HSN.RN.A.2

CCSS.HSA.SSE.A.2

 $2\sqrt{12}-\ 5\sqrt{18}$  

•  $4\sqrt{3}-15\sqrt{2}$  

•  $-3\sqrt{-6}$  

•  $12\sqrt{3}$  

•  $-11\sqrt{2}$  

Tags

CCSS.HSN.RN.A.2

 $7\sqrt{50}-2\sqrt{8}$  

•  $5\sqrt{42}$  

•  $31\sqrt{2}$  

•  $15\sqrt{2}$  

•  $27\sqrt{2}$  

Tags

CCSS.HSN.RN.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

• 8√6

• 8√12

• 12√6

• 12√12

Tags

CCSS.HSN.RN.A.2

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.REI.A.2