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Yanka [14]
2 years ago
15

Simplify this expression.

+\sqrt2)" alt="2\sqrt5(13+\sqrt2)" align="absmiddle" class="latex-formula">
Mathematics
2 answers:
andreyandreev [35.5K]2 years ago
5 0

Step-by-step explanation:

everything can be found in the picture

marin [14]2 years ago
3 0

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

<h3>= 64.3</h3>
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