Question
Simplify the expression
10119f3−31
Evaluate
1×f3×10119−31
Solution
More Steps

Evaluate
1×f3×10119
Rewrite the expression
f3×10119
Use the commutative property to reorder the terms
10119f3
10119f3−31
Show Solution

Find the roots
f=10119331×101192
Alternative Form
f≈0.145236
Evaluate
1×f3×10119−31
To find the roots of the expression,set the expression equal to 0
1×f3×10119−31=0
Multiply the terms
More Steps

Multiply the terms
1×f3×10119
Rewrite the expression
f3×10119
Use the commutative property to reorder the terms
10119f3
10119f3−31=0
Move the constant to the right-hand side and change its sign
10119f3=0+31
Removing 0 doesn't change the value,so remove it from the expression
10119f3=31
Divide both sides
1011910119f3=1011931
Divide the numbers
f3=1011931
Take the 3-th root on both sides of the equation
3f3=31011931
Calculate
f=31011931
Solution
More Steps

Evaluate
31011931
To take a root of a fraction,take the root of the numerator and denominator separately
310119331
Multiply by the Conjugate
310119×3101192331×3101192
The product of roots with the same index is equal to the root of the product
310119×3101192331×101192
Multiply the numbers
More Steps

Evaluate
310119×3101192
The product of roots with the same index is equal to the root of the product
310119×101192
Calculate the product
3101193
Reduce the index of the radical and exponent with 3
10119
10119331×101192
f=10119331×101192
Alternative Form
f≈0.145236
Show Solution
