Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
7ν3−56
Evaluate
ν3÷7−8
Rewrite the expression
7ν3−8
Reduce fractions to a common denominator
7ν3−78×7
Write all numerators above the common denominator
7ν3−8×7
Solution
7ν3−56
Show Solution
Find the roots
ν=237
Alternative Form
ν≈3.825862
Evaluate
ν3÷7−8
To find the roots of the expression,set the expression equal to 0
ν3÷7−8=0
Rewrite the expression
7ν3−8=0
Subtract the terms
More Steps
Simplify
7ν3−8
Reduce fractions to a common denominator
7ν3−78×7
Write all numerators above the common denominator
7ν3−8×7
Multiply the numbers
7ν3−56
7ν3−56=0
Simplify
ν3−56=0
Move the constant to the right side
ν3=56
Take the 3-th root on both sides of the equation
3ν3=356
Calculate
ν=356
Solution
More Steps
Evaluate
356
Write the expression as a product where the root of one of the factors can be evaluated
38×7
Write the number in exponential form with the base of 2
323×7
The root of a product is equal to the product of the roots of each factor
323×37
Reduce the index of the radical and exponent with 3
237
ν=237
Alternative Form
ν≈3.825862
Show Solution