Answer :
Answer:
[tex]2\sqrt{5}(13+\sqrt{2} )=26\sqrt{5}+2\sqrt{10}=64.3[/tex]
Step-by-step explanation:
Given : Expression [tex]2\sqrt{5}(13+\sqrt{2} )[/tex]
To find : Simplify the expression?
Solution :
Step 1 - Write the expression
[tex]2\sqrt{5}(13+\sqrt{2})[/tex]
Step 2 - Apply distributive property,
[tex]a(b+c)=a\times b+a\times c[/tex]
[tex]=2\sqrt{5}\times 13+2\sqrt{5}\times\sqrt{2}[/tex]
Step 3 - Apply square root property,
[tex]\sqrt{x}\times \sqrt{y} =\sqrt{xy}[/tex]
[tex]=26\sqrt{5}+2\sqrt{10}[/tex]
or to simplify more substitute the value of [tex]\sqrt{5}=2.23[/tex] and [tex]\sqrt{10}=3.16[/tex]
Simplification- [tex]=26(2.23)+2(3.16)[/tex]
[tex]=57.98+6.32[/tex]
[tex]=64.3[/tex]