Question

(√2 + √3)^2 - (√5 - √2)^2​

Answer 1

Answer:

=a+b

3

5−2

3

5+2

3

×

5+2

3

5+2

3

=a+b

3

5

2

−(2

(

3))

2

(5+2

3

)

2

=a+b

3

25−12

25+12+20

3

=a+b

3

13

37+20

3

=a+b

3

13

37

+

13

20

3

=a+b

3

On comparing, we get,

a=

13

37

and b=

13

20

Answer 2

Answer:

(√2+√3)² — (√5 +√vz) ²

[_(a+b) ² = a² + 2ab + b² 2

(√₂)² + 2 x √ ₂ x √ 3 + (√5)² + 2x xv2

2+2√6 +3

30,

(√2)² +2√6 + 2+2√6 +3 (st-√₂)²

(2+2√6 +3=(5-2/₁0 + 2)

2+2√+3-5-2jto +2

4+3-5+2√6-20 an. 2+256-250

2+(-1.42)

]