Find the sum.

10 square root of 2 end root plus 20 square root of 2 end root

3 answers

To find the sum of the expressions \( 10\sqrt{2} + 20\sqrt{2} \), you can combine the like terms:

\[ 10\sqrt{2} + 20\sqrt{2} = (10 + 20)\sqrt{2} = 30\sqrt{2} \]

Thus, the sum is

\[ \boxed{30\sqrt{2}}. \]

no slashes

Sure! The sum of \(10\sqrt{2} + 20\sqrt{2}\) can be combined as follows:

10 square root of 2 plus 20 square root of 2 equals (10 + 20) square root of 2 equals 30 square root of 2.

So the final answer is 30 square root of 2.

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