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A calculator would not do you much good here anyway.

sqrt(120)

simple factoring under the radical

sqrt(22 * 30)

can bring the 2 out as it is squared

2sqrt(30)

========simplified

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Q: How do you simplify 120 under a radical without using a calculator?
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How do you simplify negative 125 under a radical without a calculator?

It depends what power is associated with the radical.


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The question is based on the premise that It is not possible to simplify a radical without first factorising it. That is simply not true. Beginners may find it a useful step but that does not make it "important to always factor".Simplifying radicals entails removing square factors of the radicand from under the radical. This can be done without factoring first.


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