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
Chat with our AI personalities
It depends what power is associated with the radical.
No, you cannot add or subtract under the radical. The radical represents the square root function, and it only operates on the number or expression that is inside the radical. To add or subtract, you need to simplify the expressions inside the radical first.
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.
Let's assume that \/" is the radical sign.3\/"16The first thing to do would be to solve for the part under the radical.\/"16 = 4Then substitute that into the original problem.3\/"163*412 is the final answer.
Factorise 12.Replace each pair appearing in this factorisation as by the same number outside the radical and then put everything under the radical sign. sqrt(12) = sqrt(2*2*3) = 2*sqrt(3)