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Katarina [22]
3 years ago
13

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.
Mathematics
1 answer:
kenny6666 [7]3 years ago
8 0
Sqrt(486) - sqrt(24) + sqrt(6)

find the factors of 486 that we can remove from under the square root sign
 2 * 243
 2 * 3 * 81
 2 * 3 * 9 * 9 (we have 2 nines, we can move a 9 outside the sqrt sign)
sqrt(486) = 9 sqrt(6)

Repeating for sqrt(24)
2 * 12
2 * 2 * 6
2 * 2 * 2 * 3 (we can move a 2 outside the sqrt
sqrt(24) = 2 sqrt(6)

Finally, add all 3 terms together

9 sqrt(6) - 2 sqrt(6) + sqrt(6)
8 sqrt(6)

8 times square root of 6 is the final answer
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Vlad1618 [11]

The answer should be 8+[(2^2)+3]-5

Hope this helps!


3 0
3 years ago
Jamel earned $5 an hour mowing lawns he spent $25 on a DVD how much will he have left what number do you need to solve the probl
Dimas [21]
Wait if he worked 1 hour this question still makes no since

8 0
3 years ago
Last month Marcus borrowed $74 from his roommate so far he has paid him back $33 which equation could be used to find X the amou
weeeeeb [17]

Answer:

d

Step-by-step explanation:

since he has already paid 33 then you will have to add the x amount still need to be paid

7 0
3 years ago
Read 2 more answers
Solve the following system of equations by graphing.
never [62]

Answer:

(x,y)=(3,1)

Step-by-step explanation:

8 0
3 years ago
What are the focus and directrix of the parabola with the equation y=1/16x^2
Vlada [557]
Y=1/16x^2
multiplying both sides by 16 we get:
16y=x^2
The general form of a parabola is:
(x-h)^2=4p(y-k)
thus
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The parabola opens upwrd:
Focus: (h,k-p)
(0,0-4)
=(0,-4)
Directrix: y=-4
8 0
3 years ago
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