Question
Simplify the expression
809600m2−60
Evaluate
2024m2×400−60
Solution
809600m2−60
Show Solution

Factor the expression
20(40480m2−3)
Evaluate
2024m2×400−60
Multiply the terms
809600m2−60
Solution
20(40480m2−3)
Show Solution

Find the roots
m1=−101207590,m2=101207590
Alternative Form
m1≈−0.008609,m2≈0.008609
Evaluate
2024m2×400−60
To find the roots of the expression,set the expression equal to 0
2024m2×400−60=0
Multiply the terms
809600m2−60=0
Move the constant to the right-hand side and change its sign
809600m2=0+60
Removing 0 doesn't change the value,so remove it from the expression
809600m2=60
Divide both sides
809600809600m2=80960060
Divide the numbers
m2=80960060
Cancel out the common factor 20
m2=404803
Take the root of both sides of the equation and remember to use both positive and negative roots
m=±404803
Simplify the expression
More Steps

Evaluate
404803
To take a root of a fraction,take the root of the numerator and denominator separately
404803
Simplify the radical expression
More Steps

Evaluate
40480
Write the expression as a product where the root of one of the factors can be evaluated
16×2530
Write the number in exponential form with the base of 4
42×2530
The root of a product is equal to the product of the roots of each factor
42×2530
Reduce the index of the radical and exponent with 2
42530
425303
Multiply by the Conjugate
42530×25303×2530
Multiply the numbers
More Steps

Evaluate
3×2530
The product of roots with the same index is equal to the root of the product
3×2530
Calculate the product
7590
42530×25307590
Multiply the numbers
More Steps

Evaluate
42530×2530
When a square root of an expression is multiplied by itself,the result is that expression
4×2530
Multiply the terms
10120
101207590
m=±101207590
Separate the equation into 2 possible cases
m=101207590m=−101207590
Solution
m1=−101207590,m2=101207590
Alternative Form
m1≈−0.008609,m2≈0.008609
Show Solution
