how do you do this square roots stuff?

Question

im having trouble understanding this? sqrt 10 x sqrt 20
and like sqrt 63 can someone explain how you solve these step by step and explain more on sqrts...

Answer 1

x² = m
so
x = √m

Other examples:

2² = 4
so
2 = √4

3² = 9
so
3 = √9

The √ and ² signs are opposites in a sense.
Study this long enough and you will get it.

As for simplifying square roots, just remember this rule:

for REAL numbers: √(a*b) = √a * √b

So anytime you can write the number under the square root sign as the product of two numbers, you can separate them. Also you can read the rule from right to left to know how to multiply two square roots.

Answer 2

A square root is a number, which when multiplied by itself, gives the value shown after the "sqrt" operator. Square root operations work exactly like exponential operations, since it is really a special case. If you have x^2 * y^2, you can write (xy)^2, and vice versa. For example we know that 3^2 is 9 and 5^2 is 25. So going "one way" 3^2 * 5^2 = 15^2 = 3*3*5*5=225, and going the other way, sqrt(225)= sqrt(25*9)=sqrt(25)*sqrt(9) = 15. Of course, not every problem has such a happy ending, but you can squeeze integral square roots out with some practice. For example, sqrt(10)*sqrt(20)= sqrt (10*20)= sqrt(200). While 200 is not a square, 100 is, so we can write sqrt(200)=sqrt(100)*sqrt(2)= 10 sqrt(2). Sqrt(63) is similar, you can write
sqrt(63)=sqrt(9*7)= 3 sqrt(7).

Answer 3

sqrt(10)*sqrt(20)=sqrt(10*20)=sqrt(10*10*2) by separating 20 into 10*2.
You can take out any number (once) that there are two of
=> sqrt(10*10*2) = 10sqrt(2)

For sqrt(63)=sqrt(3*21)=sqrt(3*3*7). Break this down as much as possible. Then, since there are two threes, you can take those out:
=3sqrt(7).
Make sense?

Answer 4

well a square root is a number that is multiplied by itself and equals to the number your supposed to square.
ex of squares are;;
4, 9, 16, 25, 36
because
2 x 2= 4
3 x3 = 9
4x4 = 16
5 x5 = 25
6 x 6= 36 and so on

these are examples of perfect squares because the numbers don't have any decimals in them.
but now since 10, 20, and 63 aren't perfect squares you'll have decimals in your answer. on your calculator there should be a sign that looks like> √
put in ten and click the square root button to get your answer.
or you can do it on your computer calculator. just put in ten and click [sqrt] .
for ten you should get 3.1622-----

sorry if its a lil wordy
hope that helps you

Answer 5

im not sure what you are asking... but this may help you simplify the number, i hope

√10 *√20
= √(10*20)
=√100*√2
= 10√2

√63
=√(9*7)
= 3√7

what im doing is to find the factors of the number, one of which has a sqrt integer.

Answer 6

the squreroot of a number is a number multiplying the same number to get an answer e.g 7 * 7 = 63
so the squreroot of 63 is 7, 8 * 8 = 64. the squreroot is the opposite to squreing a number e.g 4 squred is 16 and the squreroot of 16 is 4