Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
Solve for b
Solve for r
b=2r392r2
Evaluate
2b3r=23
Rewrite the expression
2rb3=23
Divide both sides
2r2rb3=2r23
Divide the numbers
b3=2r23
Take the 3-th root on both sides of the equation
3b3=32r23
Calculate
b=32r23
Solution
More Steps
Evaluate
32r23
To take a root of a fraction,take the root of the numerator and denominator separately
32r323
Multiply by the Conjugate
32r×322r2323×322r2
Calculate
2r323×322r2
Calculate
More Steps
Evaluate
323×322r2
The product of roots with the same index is equal to the root of the product
323×22r2
Calculate the product
392r2
2r392r2
b=2r392r2
Show Solution
