Question

rationalize the denominator 1 / root 10 + root 14 + 15 + root 21​

Answer 1

Answer:

1/√10+√14+√15+√21

Firstly rationalize 1/√10+√14

1/√10+√14*√10-√14/√10-√14

√10-√14/(√10)^2-(√14)^2

√10-√14/10-14

√10-14/-4

-√10+√14/4.....(i)

After that,

1/√15+√21*√15-√21/√15-√21

√15-√21/(√15)^2-(√21)^2

√15-√21/15-21

√15-√21/-6

-√15+√21/6.....(ii)

Then, add (i) & (ii)

-√10+√14/4+-√15+√21/6

by taking LCM of 4&6

-3√10+3√14-2√15 +2√21/12

I hope this will help you

Answer 2

Answer-given in photo