5.5 Roots of Real Numbers Squares Roots Nth Roots Principal Roots.

5.5 Roots of Real 5.5 Roots of Real NumbersNumbers

Squares RootsSquares Roots

Nth RootsNth Roots

Principal RootsPrincipal Roots

Square Roots

Since 42 = 16, then but (-4)2 = 16.

So the square root of 16 is 4 and -4?

The Principal root is 4.

The Principal root are always positive.

Cube roots

53 = 125 , soHere are the parts of a root

Square roots have index 2, which is not shown

N th root

There are more roots then square or cubes.

abthenbaIf nn ,

3243;2433 55

How do I know if the answer is positive or negative

For example:

In case of numbers we take the principle root “5”

When solve an equation

x2 = 25, you take the square root of both sides. Since Square roots are even “2”, the answer is 5 and -5

5525 or

Even roots the answer have to come out positive

Even roots

Odd roots

55255 2

282 33 3

Other Roots

Some we will work with later in this class.

numbersimagineryyougives

The ± symbol

± means positive and negative

Since x2 is positive, it does not have to be in an absolute value

24 864 xx

Simplify

43 5 p

Simplify

5 1510243 ba

Simplify

5 1510

Simplify

5 152243 x

Simplify

How do you use your Calculator to find the values

It depends on your calculator, normal it is function you can find with your shift button.

We will have to find it on your calculator.

Find the approximate value of

How do you use your Calculator to find the values

It depends on your calculator, normal it is function you can find with your shift button.

We will have to find it on your calculator.

Find the approximate value of

362.3361975407.3383

HomeworkHomework

249 Page 248 – 249

#17 – 55 odd, 63#17 – 55 odd, 63

HomeworkHomework

Page 248

#16 – 58 even#16 – 58 even

5.5 Roots of Real Numbers Squares Roots Nth Roots Principal Roots.

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