SOLUTION: Subtract. Simplify by collecting like radical terms if possible. 6 times the square root of 50 - 6 times the square root of 2. Thank you in advance to anyone who can help me

Algebra ->  Square-cubic-other-roots -> SOLUTION: Subtract. Simplify by collecting like radical terms if possible. 6 times the square root of 50 - 6 times the square root of 2. Thank you in advance to anyone who can help me      Log On


   

Question 261346: Subtract. Simplify by collecting like radical terms if possible.
6 times the square root of 50 - 6 times the square root of 2.
Thank you in advance to anyone who can help me with this problem!!!!
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
your expression is %286+%2A+sqrt%2850%29%29+-+%286+%2A+sqrt%282%29%29

50+=+25%2A2+=+5%2A5%2A2

sqrt%2850%29+=+sqrt%285%2A5%2A2%29+=+5%2Asqrt%282%29

your expression becomes:

%286+%2A+5+%2A+sqrt%282%29%29+-+%286+%2A+sqrt%282%29%29

you can factor out the 6 and the sqrt(2) to get:

6+%2A+sqrt%282%29+%2A+%285+-+1%29 which becomes:

6+%2A+sqrt%282%29+%2A+4 which becomes:

24+%2A+sqrt%282%29

you can confirm by solving the original equation and your final equation to see if you get the same answer.

use your calculator.

24+%2A+sqrt%282%29 = 33.9411255

%286+%2A+sqrt%2850%29%29+-+%286+%2A+sqrt%282%29%29 = 42.42640687 - 8.485281373 = 33.9411255

you get the same answer so the simplification is good.

your answer is:

%286+%2A+sqrt%2850%29%29+-+%286+%2A+sqrt%282%29%29 can be simplified to 24+%2A+sqrt%282%29