Question
Simplify the expression
3t3−1
Evaluate
t3×3−1
Solution
3t3−1
Show Solution

Find the roots
t=339
Alternative Form
t≈0.693361
Evaluate
t3×3−1
To find the roots of the expression,set the expression equal to 0
t3×3−1=0
Use the commutative property to reorder the terms
3t3−1=0
Move the constant to the right-hand side and change its sign
3t3=0+1
Removing 0 doesn't change the value,so remove it from the expression
3t3=1
Divide both sides
33t3=31
Divide the numbers
t3=31
Take the 3-th root on both sides of the equation
3t3=331
Calculate
t=331
Solution
More Steps

Evaluate
331
To take a root of a fraction,take the root of the numerator and denominator separately
3331
Simplify the radical expression
331
Multiply by the Conjugate
33×332332
Simplify
33×33239
Multiply the numbers
More Steps

Evaluate
33×332
The product of roots with the same index is equal to the root of the product
33×32
Calculate the product
333
Reduce the index of the radical and exponent with 3
3
339
t=339
Alternative Form
t≈0.693361
Show Solution
