Question

PROVE THAT( 5 +ROOT 5) (5-ROOT 5) =20

Answer 1

Step-by-step explanation:

Given above the attachment

Answer 2

Step-by-step explanation:

Prove that (5+√ 5)(5-√ 5)=20

ove that (5+√ 5)(5-√ 5)=20LHS;

ove that (5+√ 5)(5-√ 5)=20LHS;(5+√ 5)(5-√ 5)

ove that (5+√ 5)(5-√ 5)=20LHS;(5+√ 5)(5-√ 5)Using property :{(a+b) (a-b) =a^2-b^2}

ove that (5+√ 5)(5-√ 5)=20LHS;(5+√ 5)(5-√ 5)Using property :{(a+b) (a-b) =a^2-b^2}(5)^2-(√ 5) ^2

ove that (5+√ 5)(5-√ 5)=20LHS;(5+√ 5)(5-√ 5)Using property :{(a+b) (a-b) =a^2-b^2}(5)^2-(√ 5) ^225-5

ove that (5+√ 5)(5-√ 5)=20LHS;(5+√ 5)(5-√ 5)Using property :{(a+b) (a-b) =a^2-b^2}(5)^2-(√ 5) ^225-5=20=RHS

=RHSLHS=RHS

=RHSLHS=RHSHence Proved