Question

Simplify the expression (√5-√2)⁵​

Answer 1

Step-by-step explanation:

7 + 2

10

Step-by-step explanation:

In the question

The given expression is (\sqrt{5}\ +\ \sqrt{2})^{2}}

= (\sqrt{5})^{2}\ +\ 2\times\sqrt{5}\times\sqrt{2}\ +(\sqrt{2})^{2}(

5

)

2

+ 2×

5

×

2

+(

2

)

2

{Since\ we\ know\ that\ (a\ +\ b)^{2} = a^{2}\ +\ 2ab\ +\ b^{2}}Since we know that (a + b)

2

=a

2

+ 2ab + b

2

= 5\ +\ 2\sqrt{10}\ +\ 25 + 2

10

+ 2

= 7\ +\ 2\sqrt{10}7 + 2

10

(Answer