1
Question
Simplify:If 5−√105+√10−5+√105−√10 is −43√m, then m is ?
If 5−√105+√10−5+√105−√10 is −43√m, then m is ?
Open in App
Solution
Given 5−√105+√10−5+√105−√10
Rationalize the denominators with the respective factors,
We get 5−√105+√10×5−√105−√10−5+√105−√10×5+√105+√10
=25+10−10√10−(25+10+10√10)25−10
=−20√1015
=−4√103 ∴ m=10
Rationalize the denominators with the respective factors,
We get 5−√105+√10×5−√105−√10−5+√105−√10×5+√105+√10
=25+10−10√10−(25+10+10√10)25−10
=−20√1015
=−4√103
∴ m=10
Suggest Corrections
0
Similar questions