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2 radicals are similar (like terms) if, when in simplified form, the index is the same, and the radicand is the same. The coefficient may be different. EX: 3(sq root 2) and 5(sq root 2) are like terms, but 3(cube root 2) is not a like term for either.
solving problems on exponents and radicals have come seriously to my life didn't knew anything but when solved algebraic way like it was marvellous should just use litte brain and god for sure dont cry if you dont know.Here it goes Like, 2a+3a=5a so, 3root 5 + 4 root 5=7 root 5 sorry since i can't find the sign of root, i wrote
You can always add radicals, but you can't simplify unless the radicands have a common factor. For example, the square root of 20 plus the square root of 45 equals 2 times the square root of 5 plus 3 times the square root of 5, which is 5 times the square root of 5.
It is: 6 square root 5 and it's just like adding fractions with the same denominators
You look for the largest perfect square, and take it out. In this case: root(125) = root(25 x 5) = root(25) x root(5) = 5 x root(5).