Question
Simplify the expression
232520m2−4
Evaluate
m2×232520−4
Solution
232520m2−4
Show Solution

Factor the expression
234(630m2−23)
Evaluate
m2×232520−4
Use the commutative property to reorder the terms
232520m2−4
Solution
234(630m2−23)
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Find the roots
m1=−2101610,m2=2101610
Alternative Form
m1≈−0.191071,m2≈0.191071
Evaluate
m2×232520−4
To find the roots of the expression,set the expression equal to 0
m2×232520−4=0
Use the commutative property to reorder the terms
232520m2−4=0
Move the constant to the right-hand side and change its sign
232520m2=0+4
Removing 0 doesn't change the value,so remove it from the expression
232520m2=4
Multiply by the reciprocal
232520m2×252023=4×252023
Multiply
m2=4×252023
Multiply
More Steps

Evaluate
4×252023
Reduce the numbers
1×63023
Multiply the numbers
63023
m2=63023
Take the root of both sides of the equation and remember to use both positive and negative roots
m=±63023
Simplify the expression
More Steps

Evaluate
63023
To take a root of a fraction,take the root of the numerator and denominator separately
63023
Simplify the radical expression
More Steps

Evaluate
630
Write the expression as a product where the root of one of the factors can be evaluated
9×70
Write the number in exponential form with the base of 3
32×70
The root of a product is equal to the product of the roots of each factor
32×70
Reduce the index of the radical and exponent with 2
370
37023
Multiply by the Conjugate
370×7023×70
Multiply the numbers
More Steps

Evaluate
23×70
The product of roots with the same index is equal to the root of the product
23×70
Calculate the product
1610
370×701610
Multiply the numbers
More Steps

Evaluate
370×70
When a square root of an expression is multiplied by itself,the result is that expression
3×70
Multiply the terms
210
2101610
m=±2101610
Separate the equation into 2 possible cases
m=2101610m=−2101610
Solution
m1=−2101610,m2=2101610
Alternative Form
m1≈−0.191071,m2≈0.191071
Show Solution
