Question
Solve the equation
t=2532
Alternative Form
t≈3.149803
Evaluate
5t3=641
Covert the mixed number to an improper fraction
More Steps

Evaluate
641
Multiply the denominator of the fraction by the whole number and add the numerator of the fraction
46×4+1
Multiply the terms
424+1
Add the terms
425
5t3=425
Multiply both sides of the equation by 5
5t3×5=425×5
Multiply the terms
t3=425×5
Divide the terms
t3=4125
Take the 3-th root on both sides of the equation
3t3=34125
Calculate
t=34125
Solution
More Steps

Evaluate
34125
To take a root of a fraction,take the root of the numerator and denominator separately
343125
Simplify the radical expression
More Steps

Evaluate
3125
Write the number in exponential form with the base of 5
353
Reduce the index of the radical and exponent with 3
5
345
Multiply by the Conjugate
34×3425342
Simplify
34×3425×232
Multiply the numbers
34×3421032
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
221032
Rewrite the expression
222×532
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
2532
t=2532
Alternative Form
t≈3.149803
Show Solution
