SOLUTION: simplify by factoring 4√486 is

Question 274775: simplify by factoring 4√486 is
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
First, let's simplify

The goal of simplifying expressions with square roots is to factor the radicand into a product of two numbers. One of these two numbers must be a perfect square. When you take the square root of this perfect square, you will get a rational number.

So let's list the factors of 486

Factors:
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Notice how 81 is the largest perfect square, so lets factor 486 into 81*6

Factor 486 into 81*6

Break up the square roots using the identity

Take the square root of the perfect square 81 to get 9

So the expression simplifies to

In other words,

----------------------------------------

So this means that

=================================================================
Answer:

So

SOLUTION: simplify by factoring 4&#8730;486 is

SOLUTION: simplify by factoring 4√486 is