Question
Solve the equation
p=2322
Alternative Form
p≈1.40102
Evaluate
4p3=11
Divide both sides
44p3=411
Divide the numbers
p3=411
Take the 3-th root on both sides of the equation
3p3=3411
Calculate
p=3411
Solution
More Steps

Evaluate
3411
To take a root of a fraction,take the root of the numerator and denominator separately
34311
Multiply by the Conjugate
34×342311×342
Simplify
34×342311×232
Multiply the numbers
More Steps

Evaluate
311×232
Multiply the terms
322×2
Use the commutative property to reorder the terms
2322
34×3422322
Multiply the numbers
More Steps

Evaluate
34×342
The product of roots with the same index is equal to the root of the product
34×42
Calculate the product
343
Transform the expression
326
Reduce the index of the radical and exponent with 3
22
222322
Reduce the fraction
More Steps

Evaluate
222
Use the product rule aman=an−m to simplify the expression
22−11
Subtract the terms
211
Simplify
21
2322
p=2322
Alternative Form
p≈1.40102
Show Solution
