Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−2−3a3
Evaluate
1−3a3−3−0×a
Any expression multiplied by 0 equals 0
1−3a3−3−0
Removing 0 doesn't change the value,so remove it from the expression
1−3a3−3
Solution
−2−3a3
Show Solution
Find the roots
a=−3318
Alternative Form
a≈−0.87358
Evaluate
1−3a3−3−0×a
To find the roots of the expression,set the expression equal to 0
1−3a3−3−0×a=0
Any expression multiplied by 0 equals 0
1−3a3−3−0=0
Subtract the numbers
−2−3a3−0=0
Removing 0 doesn't change the value,so remove it from the expression
−2−3a3=0
Move the constant to the right-hand side and change its sign
−3a3=0+2
Removing 0 doesn't change the value,so remove it from the expression
−3a3=2
Change the signs on both sides of the equation
3a3=−2
Divide both sides
33a3=3−2
Divide the numbers
a3=3−2
Use b−a=−ba=−ba to rewrite the fraction
a3=−32
Take the 3-th root on both sides of the equation
3a3=3−32
Calculate
a=3−32
Solution
More Steps
Evaluate
3−32
An odd root of a negative radicand is always a negative
−332
To take a root of a fraction,take the root of the numerator and denominator separately
−3332
Multiply by the Conjugate
33×332−32×332
Simplify
33×332−32×39
Multiply the numbers
More Steps
Evaluate
−32×39
The product of roots with the same index is equal to the root of the product
−32×9
Calculate the product
−318
33×332−318
Multiply the numbers
More Steps
Evaluate
33×332
The product of roots with the same index is equal to the root of the product
33×32
Calculate the product
333
Reduce the index of the radical and exponent with 3
3
3−318
Calculate
−3318
a=−3318
Alternative Form
a≈−0.87358
Show Solution