Operations with Radicals

Adding or subtracting radicals is very similar to adding & subtracting like terms.

x10

2327

xx 37

BACK

x10

2327

xx 37

210

BACK

Adding or subtracting radicals is very similar to adding & subtracting like terms.

The rules that apply to combining like terms

xyxy 524 yx 53

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also apply to combining radical terms.

7347239

35

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also apply to combining radical terms.

7347239

35 73

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When the radicands are not identical . . .

6372

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. . . the terms cannot be combined.

6372 6372

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Practice combining radical terms:

5554 5

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2045

5459

5253

55BACK

Your Turn

12580

525516

5554 59

Dude! You try

one.

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Simplify

5

1015 5

10

5

15

5

10

5

15

BACK

23

To multiply 2x 38x

2x 38x 6x16x2

4x 6x

Use the distributive property to remove the parentheses and simplify.

Simplify – You Try

525

2552

552 BACK

Simplify

35146825

3568146835251425

18406112625270

21206112625270

687250 BACK

2323

29 7

multiply. to

:pattern theUse 22 babaa-b

34

4

34

34

34

4

22 34

3444

316

3416

13

3416

Conjugate

rs.denominato hemultiply t to

:pattern theUse 22 babaa-b

Operations with Radicals