+0  
 
0
770
10
avatar+546 

(sqrt3+sqrt5)^2

 

14√x+3√y

 Jul 28, 2014

Best Answer 

 #8
avatar+128579 
+10

14sqrt20-3sqrt125.....so we have...

14√(4*5) - 3√(25*5) =

14(2)√5 - 3(5)√5 =

28√5 - 15√5 =

13√5

----------------------------------------------------------------------------------------------------

cubedroot 54+cubedroot 16 =

3√54 + 3√16 =

3√(27*2) + 3√(8*2)  =

(3)3√(2) + (2)3√(2)  =

(5) 3√(2)

 

 

 

 

 

 

 

 

 

      

 

 Jul 28, 2014
 #1
avatar+4473 
+10

(sqrt3+sqrt5)^2 --> 

(sqrt3+sqrt5)(sqrt3+sqrt5) -->

sqrt(9) + sqrt(15) + sqrt(15) + sqrt(25) -->

3 + 2sqrt(15) + 5 -->

8 + 2sqrt(15)

 Jul 28, 2014
 #2
avatar+546 
+5

Thank you!

and the other one..?

 Jul 28, 2014
 #3
avatar+4473 
+10

I assume it should be (14√x+3√y)^2:

If so:

(14√x+3√y)(14√x+3√y)

196sqrt(x*x) + 42sqrt(xy) + 42sqrt(xy) + 9sqrt(y*y)

196x + 42sqrt(xy) + 42sqrt(xy) + 9y

196x + 84sqrt(xy) + 9y

 Jul 28, 2014
 #4
avatar+128579 
+10

14√x+3√y

This one can't be simplified any more, Nataszaa. We can't add unlike radicals.

 Jul 28, 2014
 #5
avatar+546 
0

thanks so much! you helped so much!

 Jul 28, 2014
 #6
avatar+546 
0

14sqrt20-3sqrt125

 

cubedroot 54+cubedroot 16

 

can you do these CPhill?

 Jul 28, 2014
 #7
avatar+546 
0

and thank you for correcting that!

 Jul 28, 2014
 #8
avatar+128579 
+10
Best Answer

14sqrt20-3sqrt125.....so we have...

14√(4*5) - 3√(25*5) =

14(2)√5 - 3(5)√5 =

28√5 - 15√5 =

13√5

----------------------------------------------------------------------------------------------------

cubedroot 54+cubedroot 16 =

3√54 + 3√16 =

3√(27*2) + 3√(8*2)  =

(3)3√(2) + (2)3√(2)  =

(5) 3√(2)

 

 

 

 

 

 

 

 

 

      

 

CPhill Jul 28, 2014
 #9
avatar+546 
0

youre a life saver! :D

 Jul 28, 2014
 #10
avatar+546 
0

what about the other one CPhill?

 Jul 28, 2014

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