Question

Simplify (2√2-5)² + (3√2+√5)² - (√2-1)²

Answer 1

for more simplified answer put the value of √2 n √10

Answer 2

Answer:

Hope it helps ☺️☺️☺️

Step-by-step explanation:

[2ROOT 2 - 5 ]^2

= [ 2 ROOT 2 ]^2 - 2  (2 ROOT 2) (5) + (5)^2.    

= { 4 X 2 ) - 20 ROOT 2 + 25

= 8 - 20 root 2 + 25

= 33 - 20 root 2......................(i)

(3 root 2 + root 5 )^2

( 3 root 2 ) ^2 + 2(3 root 2)(root5)  + ( root 5 )^2

=  18 + 6 root 10 + 5

= 23 + 6 root 10.        

=23 + 30 root 2 ....... (ii)   [ 6 root 10 can be writen as 30 root 2 ]

(Root 2 - 1 )^2

( root 2 )^2 - 2 (root 2)(1)  + (1)^2

2 - 2root 2 + 1

3 - 2 root 2 ..............................(iii)

A.T.Q:

FROM EQ. ( I) , ( ii ) , (iii)

33 - 20root 2 + 23 +30root 2 - 3 + 2 root 2

53 + 12root 2

Thanks