11.1 Examples for Simplifying (EX: 1 of 4)

50

225

2

Look for factors of 50 that are perfect square numbers.

Take the square root of 25. Write it outside the radical sign.

Check your results. Does your simplified expression match your original expression?

25

5

Leave 2 under the radical sign because you can’t simplify any further.

Next Example

11.1 Examples for Simplifying (EX: 2 of 4)

124

314

312

Look for factors of 124 that are perfect square numbers.

Take the square root of 4. Write it outside the radical sign.

Check your results. Does your simplified expression match your original expression?

4

Leave 31 under the radical sign because you can’t simplify any further.

Next Example

Taking the square root of exponents:click screen to proceed.• Even exponent – divide exponent

by 2, move x outside radical sign• Odd exponent – subtract 1, divide

even exponent by 2. leave x under radical

12

16

100

a

n

x

27

15

7

a

n

x

6

8

50

a

n

x

aaaa

nnnn

xxxx

1326

714

36

11.1 Examples for Simplifying (EX:3 of 4) 74x

7x

xx64

32x

Variables – break apart

because it has a odd exponent

Take the square root of 4 and x6.

Check your results.

Leave x under the radical sign because you can’t simplify any further.x

Next Example

11.1 Examples for Simplifying (EX: 4 of 4)

845a

859 a

43a

Variables – even exponent (leave alone)

Break apart 45

Take the square root of 9 and a8.

Check your results.

Leave 5 under the radical sign because you can’t simplify any further.5