Question
Simplify the expression
307s2−41070
Evaluate
s2×307−41070
Solution
307s2−41070
Show Solution

Find the roots
s1=−307379210,s2=307379210
Alternative Form
s1≈−11.566266,s2≈11.566266
Evaluate
s2×307−41070
To find the roots of the expression,set the expression equal to 0
s2×307−41070=0
Use the commutative property to reorder the terms
307s2−41070=0
Move the constant to the right-hand side and change its sign
307s2=0+41070
Removing 0 doesn't change the value,so remove it from the expression
307s2=41070
Divide both sides
307307s2=30741070
Divide the numbers
s2=30741070
Take the root of both sides of the equation and remember to use both positive and negative roots
s=±30741070
Simplify the expression
More Steps

Evaluate
30741070
To take a root of a fraction,take the root of the numerator and denominator separately
30741070
Simplify the radical expression
More Steps

Evaluate
41070
Write the expression as a product where the root of one of the factors can be evaluated
1369×30
Write the number in exponential form with the base of 37
372×30
The root of a product is equal to the product of the roots of each factor
372×30
Reduce the index of the radical and exponent with 2
3730
3073730
Multiply by the Conjugate
307×3073730×307
Multiply the numbers
More Steps

Evaluate
30×307
The product of roots with the same index is equal to the root of the product
30×307
Calculate the product
9210
307×307379210
When a square root of an expression is multiplied by itself,the result is that expression
307379210
s=±307379210
Separate the equation into 2 possible cases
s=307379210s=−307379210
Solution
s1=−307379210,s2=307379210
Alternative Form
s1≈−11.566266,s2≈11.566266
Show Solution
