how do you simplify 3 root 12 + root 75?

Question

please help meee
i dont understand it

thanx

Answer 1

3root(12)+root(75)
3root(3x4) + root (25x3)
3x2root(3) + 5root(3)
6root(3) + 5root(3)
11root(3)


this is because of a simple concept that when the root(a) times root(b) is the same as root(ab) for example root3 times root 3 is the same as the root of 9, here we split it up so for example root 75 is root 25x3 which is root25 times root 3 =5root3

Answer 2

3 root 12 = 3 x root 4 x root 3 = 3 x 2 x root 3 = 6 root 3

root 75 = root 25 x root 3 = 5 root 3

6 root 3 + 5 root 3 = 11 root 3

Answer 3

3(√12) + (√75)
= 3(√4)(√3) + (√25)(√3)
= 3(2)(√3) + 5(√3)
= 6√3 + 5√3
= 11√3.

To solve root problems like this, you need to look for multiples of square numbers inside the roots (the radicands). The nice thing about it is you don't have to worry about learning multiples of 36 or 64 and such, because 4's, 9's, and 25's will cover 99% of these types of problems you'll be asked. (The occasional multiple of 49 might be tossed in to separate the "A" students from the "B" students.)

On this problem, realize 12 is a multiple of 4 and 75 is a multiple of 25, so simplify those. If you've got like roots after you're done simplify them, combine them by adding. It's not as hard as it looks. :)

Good luck!

Answer 4

3 root of 12 is equal to 3 root of 4 times 3 which is 6 root of 3

root 75 is root of 25 times 3 which is 5 root 3

6 root 3 plus 5 root 3 is

11 root 3

Answer 5

3 √ 12 + √ 75
(3)(2) √3 + 5 √3
6 √3 + 5 √3
11 √3