Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
20252(2025−56m3)
Evaluate
2−2025112m3
Solution
20252(2025−56m3)
Show Solution
Find the roots
m=14333675
Alternative Form
m≈3.306834
Evaluate
2−2025112m3
To find the roots of the expression,set the expression equal to 0
2−2025112m3=0
Move the constant to the right-hand side and change its sign
−2025112m3=0−2
Removing 0 doesn't change the value,so remove it from the expression
−2025112m3=−2
Change the signs on both sides of the equation
2025112m3=2
Multiply by the reciprocal
2025112m3×1122025=2×1122025
Multiply
m3=2×1122025
Multiply
More Steps
Evaluate
2×1122025
Reduce the numbers
1×562025
Multiply the numbers
562025
m3=562025
Take the 3-th root on both sides of the equation
3m3=3562025
Calculate
m=3562025
Solution
More Steps
Evaluate
3562025
To take a root of a fraction,take the root of the numerator and denominator separately
35632025
Simplify the radical expression
More Steps
Evaluate
32025
Write the expression as a product where the root of one of the factors can be evaluated
327×75
Write the number in exponential form with the base of 3
333×75
The root of a product is equal to the product of the roots of each factor
333×375
Reduce the index of the radical and exponent with 3
3375
3563375
Simplify the radical expression
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
2373375
Multiply by the Conjugate
237×3723375×372
Simplify
237×3723375×349
Multiply the numbers
More Steps
Evaluate
375×349
The product of roots with the same index is equal to the root of the product
375×49
Calculate the product
33675
237×372333675
Multiply the numbers
More Steps
Evaluate
237×372
Multiply the terms
2×7
Multiply the terms
14
14333675
m=14333675
Alternative Form
m≈3.306834
Show Solution