Question

Simplify!

Answer 1

\[\sqrt{2x}(7+\sqrt{2x})\]

Answer 2

A. \[2x+7*\sqrt{2x}\]
B. \[2x+7*\sqrt{2}\]
C. \[2+7\sqrt{2x}\]

Answer 3

First step is to distribute the \(\sqrt{2x}\) to the \(7\) and \(\sqrt{2x}\)

Answer 4

What do you mean?

Answer 5

\(\Large \sqrt{2x}(7+\sqrt{2x})\rightarrow \sqrt{2x}(7) + \sqrt{2x}(\sqrt{2x})\rightarrow?\)

Answer 6

\[14\sqrt{x} + 2\sqrt{x}\]??

Answer 7

Not quite. When you multiply a radical by a regular number, the number goes on the outside. When you multiply two radicals, you multiply the numbers under the radical.
\(\Large \sqrt{2x}(7)\rightarrow 7\sqrt{2x}\)
\(\Large (\sqrt{2x})(\sqrt{2x})\rightarrow \sqrt{(2x)(2x)}\)

When you have something being multiplied against itself under a squart root, you can simplify it like this:\(\Large \sqrt{(2x)(2x)}\rightarrow 2x\)

Answer 8

Oh, that makes sense.

Answer 9

:)