Question

What is the exact value of the expression the square root of 486. − the square root of 24. + the square root of 6.? Simplify if possible.

Answer 1

19.5959179422
or if u round to the nearest whole #--> 20

Answer 2

plus or minus 9√6

Explanation:

Let's find the square root of 486. The best approach is to find factors 486 that happen to be perfect squares.

Note that 486 is evenly divisible by 6; the quotient is 81. 81 is a perfect square: 9^2; 6 is not a perfect square.

Thus, after taking the sqrt of both sides of 486 = 81*6, we get √486 = plus or minus √81√6, or .plus or minus 9√6