Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
r=2333
Alternative Form
r≈2.163374
Evaluate
r3×8=81
Use the commutative property to reorder the terms
8r3=81
Divide both sides
88r3=881
Divide the numbers
r3=881
Take the 3-th root on both sides of the equation
3r3=3881
Calculate
r=3881
Solution
More Steps
Evaluate
3881
To take a root of a fraction,take the root of the numerator and denominator separately
38381
Simplify the radical expression
More Steps
Evaluate
381
Write the expression as a product where the root of one of the factors can be evaluated
327×3
Write the number in exponential form with the base of 3
333×3
The root of a product is equal to the product of the roots of each factor
333×33
Reduce the index of the radical and exponent with 3
333
38333
Simplify the radical expression
More Steps
Evaluate
38
Write the number in exponential form with the base of 2
323
Reduce the index of the radical and exponent with 3
2
2333
r=2333
Alternative Form
r≈2.163374
Show Solution
Rewrite the equation
64x6+192x4y2+192x2y4+64y6=6561
Evaluate
r3×8=81
Use the commutative property to reorder the terms
8r3=81
Evaluate
8r2×r=81
Evaluate
8(x2+y2)r=81
Square both sides of the equation
(8(x2+y2)r)2=812
Evaluate
(8(x2+y2))2r2=812
To covert the equation to rectangular coordinates using conversion formulas,substitute x2+y2 for r2
(8(x2+y2))2(x2+y2)=812
Use substitution
(64x4+128x2y2+64y4)(x2+y2)=812
Evaluate the power
(64x4+128x2y2+64y4)(x2+y2)=6561
Solution
64x6+192x4y2+192x2y4+64y6=6561
Show Solution
Graph
