-sqrt60
How to do this?
I mean how do you simplify that?
-√60 = -√(4*15) = -√4√15 = -2√15
To evaluate the expression -√60, you can follow these steps:
1. Start by simplifying the expression under the square root sign (√). In this case, since 60 is not a perfect square, you can break it down into its prime factors. 60 can be factored as 2 * 2 * 3 * 5.
2. Group the factors in pairs. For every pair of the same factors, you can take one factor out of the square root sign. Since there are two 2's in the prime factorization of 60, you can simplify this to 2√(2 * 3 * 5).
3. Next, simplify the remaining factor under the square root sign (√). In this case, 2 * 3 * 5 = 30.
4. Put it all together. The simplified expression is 2√30.
So, the value of -√60 is -2√30.