27 square - 6 square 3 √(27 ) - 6 √(3)

Question

asked Sep 12, 2020 110k views

1 Answer

Mselmi Ali · Answer 1 · 2020-09-16T03:10:09+0000

Answer:

$√(27)-6\sqrt3$ =
$-3\sqrt3$ .

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
$-3\sqrt3$ .