Question
Simplify the expression
2r5−1
Evaluate
r5×2−1
Solution
2r5−1
Show Solution

Find the roots
r=2516
Alternative Form
r≈0.870551
Evaluate
r5×2−1
To find the roots of the expression,set the expression equal to 0
r5×2−1=0
Use the commutative property to reorder the terms
2r5−1=0
Move the constant to the right-hand side and change its sign
2r5=0+1
Removing 0 doesn't change the value,so remove it from the expression
2r5=1
Divide both sides
22r5=21
Divide the numbers
r5=21
Take the 5-th root on both sides of the equation
5r5=521
Calculate
r=521
Solution
More Steps

Evaluate
521
To take a root of a fraction,take the root of the numerator and denominator separately
5251
Simplify the radical expression
521
Multiply by the Conjugate
52×524524
Simplify
52×524516
Multiply the numbers
More Steps

Evaluate
52×524
The product of roots with the same index is equal to the root of the product
52×24
Calculate the product
525
Reduce the index of the radical and exponent with 5
2
2516
r=2516
Alternative Form
r≈0.870551
Show Solution
