Adding Irrational

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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

Simplify

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Simplify

• 2√2

• -3√4

• -2√2

• -6

Add the radicals: √20 + √45

• √65

• 5√5

• √25 + √20

• 10√5

The sum of a rational and irrational number is always irrational.

• Always True

• Sometimes True

• Never True

Only _____________________________ can be combined when adding and subtracting radicals.

• Like radical expressions

• Unlike radical expressions

• radicals with the same index

• radicals with different indexes.