Question
Solve the equation
b=234
Alternative Form
b≈0.793701
Evaluate
4b2×b−5=−3
Multiply
More Steps

Evaluate
4b2×b
Multiply the terms with the same base by adding their exponents
4b2+1
Add the numbers
4b3
4b3−5=−3
Move the constant to the right-hand side and change its sign
4b3=−3+5
Add the numbers
4b3=2
Divide both sides
44b3=42
Divide the numbers
b3=42
Cancel out the common factor 2
b3=21
Take the 3-th root on both sides of the equation
3b3=321
Calculate
b=321
Solution
More Steps

Evaluate
321
To take a root of a fraction,take the root of the numerator and denominator separately
3231
Simplify the radical expression
321
Multiply by the Conjugate
32×322322
Simplify
32×32234
Multiply the numbers
More Steps

Evaluate
32×322
The product of roots with the same index is equal to the root of the product
32×22
Calculate the product
323
Reduce the index of the radical and exponent with 3
2
234
b=234
Alternative Form
b≈0.793701
Show Solution
