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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.

Respuesta :

Jefferson09
19.5959179422
or if u round to the nearest whole #--> 20
altavistard

Answer:

plus or minus 9√6

Step-by-step 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

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