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7.135 * * * * * sqrt(18)*sqrt(8) = sqrt(18*8) = sqrt(144) =12
square root 2 times square root 3 times square root 8
sqrt(18) - sqrt(8) = sqrt(2)
Square roots, simplifiedWhen you are asked for a simplified square root of some number, the answer is expected to be in radical form, not in decimal form. For example, 3 radical 2 (or three square roots of two) is the simplified square root of 18.So, let's look at this one: the square root of 8.The factors of 8 are 4 and 2. (8 and 1 are also factors, but those are not helpful.) So we can say that the square root of 8 is equal to the square root of (4 times 2):SQT(8) = SQT(4 * 2)This can be written another way:SQT(8) = SQT(4) * SQT(2)Since 4 is a perfect square whose square root is 2, we can write the equation above this way:SQT(8) = 2 * SQT(2)In English, that's "The square root of 8 is 2 square roots of 2" or "The square root of 8 is 2 times the square root of 2" or "The square root of 8 is 2 radical 2."What's this radical business? Well, I can't draw the radical sign here, so I've been using the SQT(x) convention. That is equal to an x under a radical sign.By the way, 2 times the square root of 2 is 2.828, if you are wondering.
no! the square root of 8 is not retional but the cube root is retional