How do i find the square root of a number...?

Question

that is not a perfect square but with KEEPING the radical symbol?

Like...the square rood of 24 is tow on the square root of six...how do i do that with a more complicated problem? Like what would the square root of 98 be?

Answer 1

Use the square root button on a calculator, or if there isn't one, taking any number to the exponent of .5 also finds the square root. The square root of 98 is 9.8994949366116653416118210694679.

edit: oh i know what you mean... its called simplifying radicals. Can't remember how... http://www.regentsprep.org/Regents/Math/...

Answer 2

you do these problem by looking for perfect squares in the number or factor

like for 98,

7,7,2

so answer is 7 sqrt 2

Answer 3

most square roots can't be broken up any further.

But √98 = √(49*2) = 7√2

If you can't break it up, you either leave it as is, or use a calculator.

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