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How do you multiply a whole number by a radical, and how do you add a whole number and a radical
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# How do you multiply a whole number by a radical, and how do you add a whole number and a radical

[From: ] [author: ] [Date: 11-04-24] [Hit: ]
-for example,multiply the outisde by outside,you can only simplify the radical.cant simplify further.......
How do you multiply a whole number by a radical? Also, how do you ADD a whole number with a radical? Thanks!

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You just write the number next to the radical when multiplying. For example...

5*√x = 5√x
You could always stick the number inside if you wanted to like this
√25x

Because a number and a radical aren't like terms the simplest form of the expression 5 + √x is the expression itself, 5 + √x. However, if you had something like 5√x + √x, the simplified form would be 6√x (think of it as there being a 1 outside the 2nd radical).

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for example,

2 times √3

is the same as

2(√1) times 1√3

multiply the outisde by outside, inside by inside

2(1) times √(1x3)

2 √3

If you're more confused about:

5 x 3√2

multiply the outside by the outside:

15√2

3 + √48

you can only simplify the radical.

3 + (√16 x 3)

3 + (4 x √3)

3 + 4√3

can't simplify further.
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