DLS
How would you solve this expression?



This Question is Closed

DLS
Best Response
You've already chosen the best response.
0
\[\Huge \sqrt{7+\sqrt{48}}=\sqrt{m}+\sqrt{n}\]
solve for m^2+n^2

marsss
Best Response
You've already chosen the best response.
2
\[\sqrt{7+\sqrt{48}}=\sqrt{7+2\sqrt{12}}\]
m+n=7 and m*n=12
m=3 n=4 or m=4 n=3
3^2+4^2=9+16=25

DLS
Best Response
You've already chosen the best response.
0
how did you get all that?
m+n=7 and m*n=12 m=3 n=4 or m=4 n=3 3^2+4^2=9+16=25

marsss
Best Response
You've already chosen the best response.
2
\[(\sqrt{m}+\sqrt{n})^{2}=m+n+2\sqrt{mn}\]
\[m+n+2\sqrt{mn}=7+2\sqrt{12 }\]
do you understand?

DLS
Best Response
You've already chosen the best response.
0
oh hmm okay thanks

marsss
Best Response
You've already chosen the best response.
2
you're welcome :)

DLS
Best Response
You've already chosen the best response.
0
how can we compare btw,3 terms on one side 2 on other? :O

marsss
Best Response
You've already chosen the best response.
2
m+n is just one term like 3+4. it's 7. did you get?