SOLUTION: I need help simplifying radical form of 243. The inital promlem is 9SQ + bSQ= 18SQ. HELP!!!!

Question 390396: I need help simplifying radical form of 243. The inital promlem is 9SQ + bSQ= 18SQ. HELP!!!!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Note: Thanks for supplying the original problem. You have the correct steps so far.

Start with the given expression

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 243

Factors:
1, 3, 9, 27, 81, 243

Notice how 81 is the largest perfect square, so lets factor 243 into 81*3

Factor 243 into 81*3

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

If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim
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