Question

Simplifying Radicals

1. 2√125

2. 5√60

3. √y^4

4. √x^2y

5. √50a^8

6. √12a^3b^6

Answer 1

factorize the number inside the radical

Answer 2

how do i do that? find the square root? @idvez

Answer 3

lets take the first 125,
what are the factors of 125?

Answer 4

11.18033989 @idvez

Answer 5

factor of a number is when you multiply two other numbers to give you the initial one for example 4 factors into 2 and 2, because 2*2 =4

Answer 6

so what two numbers can you multiply to give you 125

Answer 7

1,5,25 @idvez

Answer 8

correct

Answer 9

so lets rewrite 125 under the radical as
\[2\sqrt{5*25*1}=2\sqrt{5*25}\]

Answer 10

so far so good?

Answer 11

kind of

Answer 12

what is confusing you?

Answer 13

like the whole factoring in general

Answer 14

i took your first problem \[2\sqrt{125}\]
and replace 125 with the factor you gave me, ant the end i did not writhe 1 because any number multiplied by one is the same number

Answer 15

ok...
lets take another number 36, what are the factor of 36

Answer 16

i like to start always with one, what number do i have to multiply 1 by to get 36?

Answer 17

for future reference
factors of 36
1 and 36
2 and 18
3 and 12
4 and 9
6 and 6
factors:1,2,3,4,6,36,18,12,9

Answer 18

get very conformable breaking a number into its factor as this will help you tremendously for the kind of problems you were asking...

Answer 19

the next step after you factorize the number under the radical,is to see if you can take any factors out of the radical, you can do that by further factorizing into prime factors or by knowing some simple square roots such as sqrt(25)=5