Question
Simplify the expression
24f3−6
Evaluate
f3i4×24−6
Evaluate the power
More Steps

Evaluate
i4
Calculate
i2×i2
Calculate
(−1)(−1)
Calculate
1
f3×1×24−6
Solution
More Steps

Multiply the terms
f3×1×24
Rewrite the expression
f3×24
Use the commutative property to reorder the terms
24f3
24f3−6
Show Solution

Factor the expression
6(4f3−1)
Evaluate
f3i4×24−6
Evaluate the power
More Steps

Evaluate
i4
Calculate
i2×i2
Calculate
(−1)(−1)
Calculate
1
f3×1×24−6
Multiply the terms
More Steps

Multiply the terms
f3×1×24
Rewrite the expression
f3×24
Use the commutative property to reorder the terms
24f3
24f3−6
Solution
6(4f3−1)
Show Solution

Find the roots
f=232
Alternative Form
f≈0.629961
Evaluate
f3i4×24−6
To find the roots of the expression,set the expression equal to 0
f3i4×24−6=0
Evaluate the power
More Steps

Evaluate
i4
Calculate
i2×i2
Calculate
(−1)(−1)
Calculate
1
f3×1×24−6=0
Multiply the terms
More Steps

Multiply the terms
f3×1×24
Rewrite the expression
f3×24
Use the commutative property to reorder the terms
24f3
24f3−6=0
Move the constant to the right-hand side and change its sign
24f3=0+6
Removing 0 doesn't change the value,so remove it from the expression
24f3=6
Divide both sides
2424f3=246
Divide the numbers
f3=246
Cancel out the common factor 6
f3=41
Take the 3-th root on both sides of the equation
3f3=341
Calculate
f=341
Solution
More Steps

Evaluate
341
To take a root of a fraction,take the root of the numerator and denominator separately
3431
Simplify the radical expression
341
Multiply by the Conjugate
34×342342
Simplify
34×342232
Multiply the numbers
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Evaluate
34×342
The product of roots with the same index is equal to the root of the product
34×42
Calculate the product
343
Transform the expression
326
Reduce the index of the radical and exponent with 3
22
22232
Reduce the fraction
More Steps

Evaluate
222
Use the product rule aman=an−m to simplify the expression
22−11
Subtract the terms
211
Simplify
21
232
f=232
Alternative Form
f≈0.629961
Show Solution
