i have a few math questions...:)?

Question

can you add like square roots? and can you add unlike square roots??

when mutlypying two diff.variables, are both the coefficient and exponent are multiplied?


can like and unlike terms be added or subtracted???

Answer 1

For like square roots, you just put a coefficient in front, just like x + x = 2x. For unlike square roots, you can't add them directly, but you can factor them out sometimes.

For example, sqrt(12) + sqrt(3) = sqrt(4)*sqrt(3) + sqrt(3)
This is the same as 2*sqrt(3) + sqrt(3) = 3*sqrt(3).

On your second question, you multiply the coefficient but you add the exponent.

Like terms can be added and subtracted, but not unlike terms.

Answer 2

Yes you can add square roots: The square root of 4 plus the square root of 9 = 2+3 = 5. For more complicated problems consult your calculator. Note that the square root of (4+9) does not equal the addition of the two square roots of the numbers, so in that respect you can't add square roots under the square root sign and expect to come up with at correct answer.

3/4 times x/y = 3x/4y so both the coefficient and the exponent are multiplied.

To add or subtract most terms you need to calculate the terms value before you can do any addition or subtraction. It is the law of parenthesess; you need to do the operations in the order of the parenthese.

2 times the square root of 9 + 3 times the square root of 4 won't equal 2 times the square root of (9+4) or the anything else. The operation is (2 times 3) + (3 times 2) = 6 +9 = 15.

Answer 3

Radicals can be combined only if the radicands are the same and the index is the same for each radical after the radicals are simplified. For example, sqrt(48) + sqrt(27) = 4sqrt(3) + 3sqrt(3) = 7sqrt(3). But, sqrt(24) + sqrt(27) = 2sqrt(6) + 3sqrt(3). This is as simple as it can be. The sqrt(6) and sqrt(3) are not like radicals since they do not have the same radicand. This is like trying to combine x + y into one term which cannot be done. Also, cubert(3) + sqrt(3) cannot be simplified anymore since the index of each are different. This is like trying to combine x^2 + x^3 into one term which cannot be done.

Answer 4

You can combine like terms so you can solve a equation with just a few steps

Answer 5

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