Question
Simplify the expression
350244−35o3
Evaluate
1×828×423−5o3×7
Multiply the terms
More Steps

Multiply the terms
1×828×423
Rewrite the expression
828×423
Multiply the numbers
350244
350244−5o3×7
Solution
350244−35o3
Show Solution

Find the roots
o=353315890700
Alternative Form
o≈21.549352
Evaluate
1×828×423−5o3×7
To find the roots of the expression,set the expression equal to 0
1×828×423−5o3×7=0
Multiply the terms
More Steps

Multiply the terms
1×828×423
Rewrite the expression
828×423
Multiply the numbers
350244
350244−5o3×7=0
Multiply the terms
350244−35o3=0
Move the constant to the right-hand side and change its sign
−35o3=0−350244
Removing 0 doesn't change the value,so remove it from the expression
−35o3=−350244
Change the signs on both sides of the equation
35o3=350244
Divide both sides
3535o3=35350244
Divide the numbers
o3=35350244
Take the 3-th root on both sides of the equation
3o3=335350244
Calculate
o=335350244
Solution
More Steps

Evaluate
335350244
To take a root of a fraction,take the root of the numerator and denominator separately
3353350244
Simplify the radical expression
More Steps

Evaluate
3350244
Write the expression as a product where the root of one of the factors can be evaluated
327×12972
Write the number in exponential form with the base of 3
333×12972
The root of a product is equal to the product of the roots of each factor
333×312972
Reduce the index of the radical and exponent with 3
3312972
3353312972
Multiply by the Conjugate
335×33523312972×3352
Simplify
335×33523312972×31225
Multiply the numbers
More Steps

Evaluate
312972×31225
The product of roots with the same index is equal to the root of the product
312972×1225
Calculate the product
315890700
335×33523315890700
Multiply the numbers
More Steps

Evaluate
335×3352
The product of roots with the same index is equal to the root of the product
335×352
Calculate the product
3353
Reduce the index of the radical and exponent with 3
35
353315890700
o=353315890700
Alternative Form
o≈21.549352
Show Solution
