So you ask what are Square roots
That is a good question and it’s actually simpilar then it looks but can’t be solved by a hand. Wait you can’t solve it by hand wouldn’t that make it harder? Well yes but it’s really quite simple.

√y is the same as saying something multiplied by it self is equal to y

so √(x * x) is the same as √y and it can also written as √(x²)

so now knowing y is x² and we can find x and then the square would cancel out the square root( √y = √(x*x) or √x² = x

Starting to rap your mind around this heres and example

√81 so we know a number multiplied by it self will get 81 what are they?

9 multiples by it self gets 81. 81 = 9²

so now we plug that in for 81

√9²

now because squaring cancels out square roots we are left with 9 and that is the square root of 81.

Starting to get it?
Ok so that's all simple right what about negative numbers? That's the easy part the square root of a negative number is always i witch is also equal to -1. Oh now that's much easier.
So from here the only other thing you need to know is the other way of writing square roots which is:

Not to hard.

Here's some problems to practices. Remember order of operations for the hard ones.
easy
√144 √25
medium
√20
√12
hard
√(25*2)
√(100/2)

Jasmine Thomas

Review: Square Roots

Square root of 25

So knowing that a number multiplies itself to get 25 we can start by finding the multiples of 25 which is 5

5(5)=25 square root of 5^2

5 is the square root because sqaure rooting the problem cancels out squaring which leaves us with 5.

Stefen and Rob
pg.394
#1) 3√x+3=15
-3 -3 3√x=12
3 3
√x = 4
x = 4^2
x= 16

Roots

A number that is not negative that must be multiplied times itself to a equal a given number..

FX-70 Consider the examples below and check them in your head or on your calculator.

9²=81 and ²√81=9
8³=512 and ³√512=8
7⁵=16807 and ⁵√16897=7
Use these ideas to compute the following without a calculator.

a) ²√49=
b)⁴√81=
c)⁴√10000=
d)⁵√-32=

a) ²√49=7
7x7

b)⁴√81= 3
3x27
3x(3x9)
3x(3x(3x3))

c)⁴√10000= 10
10x1000
10x(10x100)
10x(10x(10x10))

d) ⁵√-32=
NOT POSSIBLE !
you cannot take the fifth, or any root for that matter, of a negative number.

That is a good question and it’s actually simpilar then it looks but can’t be solved by a hand. Wait you can’t solve it by hand wouldn’t that make it harder? Well yes but it’s really quite simple.

- √y is the same as saying something multiplied by it self is equal to y
- so √(x * x) is the same as √y and it can also written as √(x²)
- so now knowing y is x² and we can find x and then the square would cancel out the square root( √y = √(x*x) or √x² = x
- Starting to rap your mind around this heres and example
- √81 so we know a number multiplied by it self will get 81 what are they?
- 9 multiples by it self gets 81. 81 = 9²
- so now we plug that in for 81
- √9²
- now because squaring cancels out square roots we are left with 9 and that is the square root of 81.

Starting to get it?Ok so that's all simple right what about negative numbers? That's the easy part the square root of a negative number is always i witch is also equal to -1. Oh now that's much easier.

So from here the only other thing you need to know is the other way of writing square roots which is:

Not to hard.

Here's some problems to practices. Remember order of operations for the hard ones.

easy

√144

√25medium

√20

√12

hard

√(25*2)

√(100/2)

Jasmine ThomasReview: Square RootsSquare root of 25So knowing that a number multiplies itself to get 25 we can start by finding the multiples of 25 which is 55(5)=25 square root of 5^25 is the square root because sqaure rooting the problem cancels out squaring which leaves us with 5.Stefen and Robpg.394

#1) 3√x+3=15

-3 -3

3√x=123 3

√x = 4

x = 4^2

x= 16

Roots## A number that is not negative that must be multiplied times itself to a equal a given number..

9²=81 and ²√81=9FX-70Consider the examples below and check them in your head or on your calculator.8³=512 and ³√512=8

7⁵=16807 and ⁵√16897=7

Use these ideas to compute the following without a calculator.

a) ²√49=

b)⁴√81=

c)⁴√10000=

d)⁵√-32=

a) ²√49=7

7x7

b)⁴√81= 3

3x27

3x(3x9)

3x(3x(3x3))

c)⁴√10000= 10

10x1000

10x(10x100)

10x(10x(10x10))

d) ⁵√-32=

NOT POSSIBLE !

you cannot take the fifth, or any root for that matter, of a negative number.

Source: http://www.cpm.org/