Question

Simplify this expression.

`2\sqrt5(13+\sqrt2)`

Answer 1

Explanation:

everything can be found in the picture

Answer 2

`\small{\boxed{\tt{2 √(5) (13 + √(2) = 26 √(5) + 2 √(10) = 64.3}}}`

Explanation:

Given : Expression

`2 √(5) (13 + √(2) )`

To find : Simplify the expression

Solution :

Step 1 - Write the expression

`2 √(5) (13 + √(2) )`

Step 2 - Apply distributive property,

`a(b + c) = a × b + a * c`

`= 2 √(5) * 13 + 2 √(5 ) * √(2)`

Step 3 - Apply square root property,

`√(x) * √(y) = √(xy)`

`= 26 √(5) + 2 √(10)`

or to simplify more substitute the value of
`√(5) = 2.23` and
`√(10) = 3.16`

Simplification-

`= 26(2.23) + 2(3.16)`

`= 57.98 + 6.32`

`= 64.3`