Question
Simplify the expression
21r3−1
Evaluate
r3×21−1
Solution
21r3−1
Show Solution

Find the roots
r=213441
Alternative Form
r≈0.36246
Evaluate
r3×21−1
To find the roots of the expression,set the expression equal to 0
r3×21−1=0
Use the commutative property to reorder the terms
21r3−1=0
Move the constant to the right-hand side and change its sign
21r3=0+1
Removing 0 doesn't change the value,so remove it from the expression
21r3=1
Divide both sides
2121r3=211
Divide the numbers
r3=211
Take the 3-th root on both sides of the equation
3r3=3211
Calculate
r=3211
Solution
More Steps

Evaluate
3211
To take a root of a fraction,take the root of the numerator and denominator separately
32131
Simplify the radical expression
3211
Multiply by the Conjugate
321×32123212
Simplify
321×32123441
Multiply the numbers
More Steps

Evaluate
321×3212
The product of roots with the same index is equal to the root of the product
321×212
Calculate the product
3213
Reduce the index of the radical and exponent with 3
21
213441
r=213441
Alternative Form
r≈0.36246
Show Solution
