We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
117
1
avatar

Simplify  \( \frac{6}{2\sqrt 3 - 3}\) as much as possible.

 

Thanks! Please explain.

 Jun 29, 2018

Best Answer 

 #1
avatar
+1

6/(2 sqrt(3) - 3) -Simplify:

Multiply numerator and denominator of 6/(2 sqrt(3) - 3) by 2 sqrt(3) + 3:
(6 (2 sqrt(3) + 3))/((2 sqrt(3) - 3) (2 sqrt(3) + 3))

(2 sqrt(3) - 3) (2 sqrt(3) + 3) = -3×3 - 3×2 sqrt(3) + 2 sqrt(3)×3 + 2 sqrt(3)×2 sqrt(3) = -9 - 6 sqrt(3) + 6 sqrt(3) + 12 = 3:
(6 (2 sqrt(3) + 3))/3

6/3 = (3×2)/3 = 2:

=2 (2 sqrt(3) + 3)

 Jun 29, 2018
 #1
avatar
+1
Best Answer

6/(2 sqrt(3) - 3) -Simplify:

Multiply numerator and denominator of 6/(2 sqrt(3) - 3) by 2 sqrt(3) + 3:
(6 (2 sqrt(3) + 3))/((2 sqrt(3) - 3) (2 sqrt(3) + 3))

(2 sqrt(3) - 3) (2 sqrt(3) + 3) = -3×3 - 3×2 sqrt(3) + 2 sqrt(3)×3 + 2 sqrt(3)×2 sqrt(3) = -9 - 6 sqrt(3) + 6 sqrt(3) + 12 = 3:
(6 (2 sqrt(3) + 3))/3

6/3 = (3×2)/3 = 2:

=2 (2 sqrt(3) + 3)

Guest Jun 29, 2018

18 Online Users

avatar
avatar
avatar
avatar
avatar