Question

What are some examples on how to find the square root of a number.

Answer 1

that depends...are you studying algebra or calculus?

if you're in algebra the simplest way to find the square root of a number is factoring the radicand into perfect squares then taking those out of the radical

in calculus you use linear approximation to get the value of square roots

although there may be other ways of finding the square root of a number

like using a calculator...or wolframalpha.com

Answer 2

Im studying algebra.

Answer 3

then follow the algebra portion of what i said

Answer 4

square root of perfect square? or any number?

Answer 5

x2 - 16 = 0

x2 = 16
\[\sqrt{x^{2}}\] = ±√16

Answer 6

if you want to see an example of how the algebra thingy is done check this out http://openstudy.com/study#/updates/4fbae0ebe4b05565342fe421 maybe it can help you

Answer 7

there is a very good article on wikipedia ... have you read it?
http://en.wikipedia.org/wiki/Methods_of_computing_square_roots

Answer 8

This is an example i was given but it makes no sence to me

Answer 9

..oh that

Answer 10

what part of that dont you get?

Answer 11

\[ x^2 = 16 \\
x^2 = 4 \times 4 = -4 \times -4 = ( \pm 4)^2 \\
\text{so, }x = \pm 4\]

Answer 12

What is ± mean?

Answer 13

both plus also minus works ... see there ...

Answer 14

ok

Answer 15

\[ a^2 = b^2 \implies a = \pm b\]

Answer 16

Can you give me another example of how to do this

Answer 17

Solve for x:
\[ x^2 - 25 = 0\]

Answer 18

the square root of 16 is \(\pm 4\) because 4 x 4 is 16 and (-4) x (-4) is also 16

there fore both squares of 4 and -4 are 16..therefore \[\sqrt{16} \implies \pm 4\]

Answer 19

ok so i know that the factors of 25 are 1 5 25

Answer 20

so is the sqaure root 5

Answer 21

\[ +5 \text{ and } -5 \]