How do you add $\sqrt{10} + \sqrt{10}$ $sqrt(10) + sqrt(10)$ ?

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How do you add $\sqrt{10} + \sqrt{10}$ $sqrt(10) + sqrt(10)$ ?

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Answer 1 · 2015-04-17T13:26:04

Think at the two squares as 2 similar objects that, as $x$ $x$ , can be added giving $x + x = 2 x$ $x+x=2x$ so:
$\sqrt{10} + \sqrt{10} = 2 \sqrt{10} =$ $sqrt(10)+sqrt(10)=2sqrt(10)=$
now $2$ $2$ can "enter" into the root:
$= \sqrt{4 \cdot 10} = \sqrt{40}$ $=sqrt(4*10)=sqrt(40)$

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How do you add $\sqrt{10} + \sqrt{10}$ $sqrt(10) + sqrt(10)$ ?

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How do you add $\sqrt{10} + \sqrt{10}$ $sqrt(10) + sqrt(10)$ ?