Question

27 square - 6 square 3

`√(27 ) - 6 √(3)`
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Answer 1

`√(27)-6\sqrt3` =
`-3\sqrt3`.

Explanation:

Given:

The given expression to simplify is:

`√(27)-6\sqrt3`

Now, 27 can be written as

`27=3* 3* 3\\27=3^2* 3`

Now, we know that for a square root function:

`√(x^2)=x` and

`√(xy)=√(x)* √(y)`

Therefore,
`√(27)=√(3^2* 3)=√(3^2)* √(3)=3√(3)`

Now, plug in the value
`3\sqrt3` for
`√(27)`. This gives,

`3√(3)-6\sqrt3`

`\sqrt3` is a common factor in both the terms above. So, we factor it out. This gives,

`\sqrt3(3-6)\\\sqrt3(-3)\\-3\sqrt3`

Therefore, the simplified answer is
`-3\sqrt3`.