Question

Simplify this expression.
$2\sqrt5(13+\sqrt2)$

Answer 1

Step-by-step explanation:

everything can be found in the picture

Answer 2

Answer:

$\small{\boxed{\tt{2 \sqrt{5} (13 + \sqrt{2} = 26 \sqrt{5} + 2 \sqrt{10} = 64.3}}}$

Step-by-step explanation:

Given : Expression

$2 \sqrt{5} (13 + \sqrt{2} )$

To find : Simplify the expression

Solution :

Step 1 - Write the expression

$2 \sqrt{5} (13 + \sqrt{2} )$

Step 2 - Apply distributive property,

$a(b + c) = a × b + a \times c$

$= 2 \sqrt{5} \times 13 + 2 \sqrt{5 } \times \sqrt{2}$

Step 3 - Apply square root property,

$\sqrt{x} \times \sqrt{y} = \sqrt{xy}$

$= 26 \sqrt{5} + 2 \sqrt{10}$

or to simplify more substitute the value of $\sqrt{5} = 2.23$ and $\sqrt{10} = 3.16$

Simplification-

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

$= 57.98 + 6.32$

$= 64.3$