Question
Simplify the expression
232520m2−2
Evaluate
m2×232520−2
Solution
232520m2−2
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Factor the expression
232(1260m2−23)
Evaluate
m2×232520−2
Use the commutative property to reorder the terms
232520m2−2
Solution
232(1260m2−23)
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Find the roots
m1=−210805,m2=210805
Alternative Form
m1≈−0.135107,m2≈0.135107
Evaluate
m2×232520−2
To find the roots of the expression,set the expression equal to 0
m2×232520−2=0
Use the commutative property to reorder the terms
232520m2−2=0
Move the constant to the right-hand side and change its sign
232520m2=0+2
Removing 0 doesn't change the value,so remove it from the expression
232520m2=2
Multiply by the reciprocal
232520m2×252023=2×252023
Multiply
m2=2×252023
Multiply
More Steps

Evaluate
2×252023
Reduce the numbers
1×126023
Multiply the numbers
126023
m2=126023
Take the root of both sides of the equation and remember to use both positive and negative roots
m=±126023
Simplify the expression
More Steps

Evaluate
126023
To take a root of a fraction,take the root of the numerator and denominator separately
126023
Simplify the radical expression
More Steps

Evaluate
1260
Write the expression as a product where the root of one of the factors can be evaluated
36×35
Write the number in exponential form with the base of 6
62×35
The root of a product is equal to the product of the roots of each factor
62×35
Reduce the index of the radical and exponent with 2
635
63523
Multiply by the Conjugate
635×3523×35
Multiply the numbers
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Evaluate
23×35
The product of roots with the same index is equal to the root of the product
23×35
Calculate the product
805
635×35805
Multiply the numbers
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Evaluate
635×35
When a square root of an expression is multiplied by itself,the result is that expression
6×35
Multiply the terms
210
210805
m=±210805
Separate the equation into 2 possible cases
m=210805m=−210805
Solution
m1=−210805,m2=210805
Alternative Form
m1≈−0.135107,m2≈0.135107
Show Solution
