SOLUTION: How do I simplify the 63 squared

SOLUTION: How do I simplify the 63 squared - 28 squared?

Question 355350: How do I simplify the 63 squared - 28 squared?
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
"How do I simplify the 63 squared - 28 squared?"
means

If this is correct, then just multiply and subtract. But if you meant

then you should have posted
"How do I simplify the square root of 63 minus the square root of 28?" Since this second expression is more likely to be a homework problem I will do that one.

These square roots, as they are right now, are not like terms so we cannot subtract them. But we can try to simplify each square root individually. After that we may end up with like terms tha will subtract.

To simplify a square root, you look for perfect square factors of the radicand (the expression inside the radical). Both of your radicands, 63 and 28, have perfect square factors: 9 and 4 respeoctively. So we can rewrite your expression in this form:

Now we can use a property of radicals, , to separate the two factors into separate square roots:

The square roots of the perfect squares are well known: and
We have now simplified the two square roots. And we can now subtract the two terms because they are now, after the simplification, like terms! (If you have trouble seeing this, pretend . Then the expression would be 3x - 2x which you can clearly see, I hope, can be subtracted. And just like 3x - 2x = 1x = x:

So your expressionn simplifies down to just
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