Question

Simplify this expression.2√5(13+√2)

Answer 1

26✓5+2✓10
.........................

Answer 2

`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`