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See if 300 can be factored so that one (or more) of the factors is a complete square.

300 = 3 x 100 = 3 x 102

Then �300 = �(3 x 102).......and the square root of 102 is 10.

So, �(3 x 102) = 10�3

Just saying.. the square root of 100 is 10.. not the square root of 102...

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Q: What is the square root of 300 in surds?
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How do you work out surds?

Surds are normally irrational numbers but they can be simplified for instance the square root of 12 can be expressed as 2 times the square root of 3


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Roots that are irrational are called surds. There are irrational numbers that are not surds since they are not roots of any equation. For example, Pi. Rational roots, such as square root of 4, are not surds.


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Surds are irrational square root numbers that cannot be solved but they can be simplified. For example the square root of 12 can be simplified to 2 times the square root of 3.


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300*square root of 3 + 300*square root of 6 = 1254.462165


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simplify the square root of 300 divided by the square root of 6


Does the square root of ab equal square root of a Times Square root of b?

Yes, that is correct. It is one of the basic properties of surds, and is used in many identities and some equations, to simplify and calulate and prove.


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