Question
Simplify the expression
135r5−3048
Evaluate
45r5×3−3048
Solution
135r5−3048
Show Solution

Factor the expression
3(45r5−1016)
Evaluate
45r5×3−3048
Multiply the terms
135r5−3048
Solution
3(45r5−1016)
Show Solution

Find the roots
r=4551016×454
Alternative Form
r≈1.865247
Evaluate
45r5×3−3048
To find the roots of the expression,set the expression equal to 0
45r5×3−3048=0
Multiply the terms
135r5−3048=0
Move the constant to the right-hand side and change its sign
135r5=0+3048
Removing 0 doesn't change the value,so remove it from the expression
135r5=3048
Divide both sides
135135r5=1353048
Divide the numbers
r5=1353048
Cancel out the common factor 3
r5=451016
Take the 5-th root on both sides of the equation
5r5=5451016
Calculate
r=5451016
Solution
More Steps

Evaluate
5451016
To take a root of a fraction,take the root of the numerator and denominator separately
54551016
Multiply by the Conjugate
545×545451016×5454
The product of roots with the same index is equal to the root of the product
545×545451016×454
Multiply the numbers
More Steps

Evaluate
545×5454
The product of roots with the same index is equal to the root of the product
545×454
Calculate the product
5455
Reduce the index of the radical and exponent with 5
45
4551016×454
r=4551016×454
Alternative Form
r≈1.865247
Show Solution
