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It is 7 + 3 root 5.

Simply change the sign of one of the two terms. Thus -7 - 3 root 5 (changing the sign of the first term) is also a rationalisation factor. The only reason to go for the other one is that there will be fewer negative signs to deal with. The answer will be the same.

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Q: What is the rationalisation factor 7 - 3 root 5?
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You can get a decimal approximation with a calculator, with Excel, etc. But if you want to keep it as a square root, the "standard form" is considered to be one that has no square roots in the denominator. In this case, to get rid of the square root in the denominator, you multiply both numerator and denominator by the square root of 5, with the following result: 3 / root(5) = 3 root(5) / root(5) x root(5) = 3 root(5) / 5 That is, three times the square root of 5, divided by 5.


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I will use "root" as a symbol for square root. I assume you want to get rid of the square root in the denominator; this will usually bring some square root into the numerator.If you have the square root by itself, or as a factor, multiply numerator and denominator by this square root. Example:3 / root(2) = 3 x root(2) / root(2) x root(2) = 3 x root(2) / 2.If the square root is added or subtracted with something else, multiply with a "complement", as in the following example:1 / root(2) + 5The "complement" is the same expression, but changing the plus sign to a minus sign. Multiply numerator and denominator aby root(2) - 5:root(2) - 5 / (root(2) + 5)(root(2) - 5)= (root(2) - 5) / (2 - 25)= (root(2) - 5) / -23= -(root(2) - 5) / 23


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root 3 = 1.732 (use your calculator) root 5 = 2.236 root3 + root5 = 3.968 =========================


What is the square root of 75 pus the square root of 3?

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