Mathematics
9 Online
OpenStudy (anonymous):
Multiplying radicals
5√6x2x√6
(addition problem)
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
@jim_thompson5910
OpenStudy (anonymous):
Please help
jimthompson5910 (jim_thompson5910):
so you want to multiply \(\large 5\sqrt{6}\) with \(\large 2\sqrt{6}\) right?
OpenStudy (anonymous):
Correct
jimthompson5910 (jim_thompson5910):
ok what you do is multiply the coefficients to get: 5*2 = 10
then you multiply the terms inside the square root: 6*6 = 36
Join the QuestionCove community and study together with friends!
Sign Up
jimthompson5910 (jim_thompson5910):
so that will turn
\(\large 5\sqrt{6}*2\sqrt{6}\)
into
\(\large 10\sqrt{36}\)
jimthompson5910 (jim_thompson5910):
from here, you take the square root of 36 to get 6
jimthompson5910 (jim_thompson5910):
so
\(\large 10\sqrt{36}\)
turns into
\(\large 10*6\)
I'm sure you see how to finish up
jimthompson5910 (jim_thompson5910):
so what's the final answer?
OpenStudy (anonymous):
60
Join the QuestionCove community and study together with friends!
Sign Up
jimthompson5910 (jim_thompson5910):
yep, so \(\large 5\sqrt{6}*2\sqrt{6} = 60\)
OpenStudy (anonymous):
its 2x
jimthompson5910 (jim_thompson5910):
oh so not 2 times the square root of 6?
jimthompson5910 (jim_thompson5910):
but 2x times the square root of 6?
OpenStudy (anonymous):
5√6 x 2x√6
Join the QuestionCove community and study together with friends!
Sign Up
jimthompson5910 (jim_thompson5910):
ok let me redo
use * to mean multiplication since x is a variable
jimthompson5910 (jim_thompson5910):
\(\Large 5\sqrt{6}*2x\sqrt{6}\)
\(\Large 5*2x\sqrt{6*6}\)
\(\Large 10x\sqrt{36}\)
\(\Large 10x*6\)
\(\Large 10*6x\)
\(\Large 60x\)
So, \(\Large 5\sqrt{6}*2x\sqrt{6} = 60x\)
OpenStudy (anonymous):
Thanks
jimthompson5910 (jim_thompson5910):
yw
OpenStudy (anonymous):
i have another one
Join the QuestionCove community and study together with friends!
Sign Up
jimthompson5910 (jim_thompson5910):
ok one more
OpenStudy (anonymous):
(4√3)(-5√21)
jimthompson5910 (jim_thompson5910):
no x variables this time?
OpenStudy (anonymous):
no
jimthompson5910 (jim_thompson5910):
ok one sec
Join the QuestionCove community and study together with friends!
Sign Up
jimthompson5910 (jim_thompson5910):
\(\Large (4\sqrt{3})*(-5\sqrt{21})\)
\(\Large (4)*(-5)*\sqrt{3*21}\)
\(\Large -20*\sqrt{63}\)
\(\Large -20*\sqrt{9*7}\)
\(\Large -20*\sqrt{9}*\sqrt{7}\)
\(\Large -20*3*\sqrt{7}\)
\(\Large -60*\sqrt{7}\)
In the end, \(\Large (4\sqrt{3})*(-5\sqrt{21}) = -60*\sqrt{7}\)
OpenStudy (anonymous):
thanks
jimthompson5910 (jim_thompson5910):
np