Adding and Subtracting Irrational Numbers

Simplify

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Add the radicals: √20 + √45

• √65

• 5√5

• √25 + √20

• 10√5

• 17√2
• 9√1
• 9
• 9√2

Only _____________________________ can be combined when adding and subtracting radicals.

• Like radical expressions

• Unlike radical expressions

• radicals with the same index

• radicals with different indexes.

Subtract: 2√18 - 3√8

• 0

• 3√2

• √2

• -4√2

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Simplify completely.

• -1

• -√5

• -6√5

• -30

2√3 + 4√2 - √2 + √3

• 4√2 - 3√3

• 3√3 + 3√2

• 6√5

• 5√6

13√2 - 4√2

• 9

• 2√9

• 9√2

• 9√20

You cannot add or subtract radical expression if they have different indices and the same radicand. 

• TRUE

• FALSE