Question
Simplify the expression
1485r5−48
Evaluate
45r5×33−48
Solution
1485r5−48
Show Solution

Factor the expression
3(495r5−16)
Evaluate
45r5×33−48
Multiply the terms
1485r5−48
Solution
3(495r5−16)
Show Solution

Find the roots
r=49559904
Alternative Form
r≈0.503388
Evaluate
45r5×33−48
To find the roots of the expression,set the expression equal to 0
45r5×33−48=0
Multiply the terms
1485r5−48=0
Move the constant to the right-hand side and change its sign
1485r5=0+48
Removing 0 doesn't change the value,so remove it from the expression
1485r5=48
Divide both sides
14851485r5=148548
Divide the numbers
r5=148548
Cancel out the common factor 3
r5=49516
Take the 5-th root on both sides of the equation
5r5=549516
Calculate
r=549516
Solution
More Steps

Evaluate
549516
To take a root of a fraction,take the root of the numerator and denominator separately
5495516
Multiply by the Conjugate
5495×54954516×54954
Multiply the numbers
More Steps

Evaluate
516×54954
The product of roots with the same index is equal to the root of the product
516×4954
Calculate the product
59904
5495×5495459904
Multiply the numbers
More Steps

Evaluate
5495×54954
The product of roots with the same index is equal to the root of the product
5495×4954
Calculate the product
54955
Reduce the index of the radical and exponent with 5
495
49559904
r=49559904
Alternative Form
r≈0.503388
Show Solution
