Equations
Find the surface area of a sphere of volume 36 ft3, if the surface area of a sphere is A=4pi*r2
What is 36*root(3)(pi) ft2
The radical form of u2/5v-3u-1/2v3/8, without negative exponents
What is 1/(root(10)(u)*root(8)(v21))
The missing leg of a right triangle with a leg of 9 and a hypotenuse of 17sqrt(5)
What is 2sqrt(341)
M-5/9, rationalized
What is root(9)(M4)/M
The solutions to p4-p2=20
What are p=+-sqrt(5) and p=+-2i
What are x=3,-3,3i, and -3i
The length of a diagonal from one corner to its opposite in a cube of side S
What is sqrt(3)S
(sqrt(72)+sqrt(162))2, simplified
What is 450
The surface area of a circular pond, if its depth x feet from one edge is D(x)=-1/10x2 + sqrt(34/10)x
What is 85pi square feet
-4/1-sqrt(3), rationalized
What is 2+2sqrt(3)
The solutions to sqrt(25-3x)=3+sqrt(4-x)
What are x=0 and x=3
(a-b)/(a*sqrt(b)+b*sqrt(a)), rationalized
What is (a*sqrt(b)-b*sqrt(a))/ab
The solution to sqrt(2x+1)=1-sqrt(x)
What is x=0
A Chinese restaurant has a large goldfish pond. Suppose that an inlet pipe and a hose together can fill the pond in 2 hours. The inlet pipe alone can complete the job in one hour less time than the hose alone. The time that the hose can complete the job alone
What is (5+sqrt(17))/2, about 4.56 seconds
Simplify (sqrt(2)+1+i)2
What is 2sqrt(2)+2+(2sqrt(2)+2)i
The negative solution to x2+sqrt(2)x=12
What is -3sqrt(2)
The discriminant of Ax2-2Ax+A=0
What is zero