Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
18n2−49
Evaluate
n2×18−49
Solution
18n2−49
Show Solution
Find the roots
n1=−672,n2=672
Alternative Form
n1≈−1.649916,n2≈1.649916
Evaluate
n2×18−49
To find the roots of the expression,set the expression equal to 0
n2×18−49=0
Use the commutative property to reorder the terms
18n2−49=0
Move the constant to the right-hand side and change its sign
18n2=0+49
Removing 0 doesn't change the value,so remove it from the expression
18n2=49
Divide both sides
1818n2=1849
Divide the numbers
n2=1849
Take the root of both sides of the equation and remember to use both positive and negative roots
n=±1849
Simplify the expression
More Steps
Evaluate
1849
To take a root of a fraction,take the root of the numerator and denominator separately
1849
Simplify the radical expression
More Steps
Evaluate
49
Write the number in exponential form with the base of 7
72
Reduce the index of the radical and exponent with 2
7
187
Simplify the radical expression
More Steps
Evaluate
18
Write the expression as a product where the root of one of the factors can be evaluated
9×2
Write the number in exponential form with the base of 3
32×2
The root of a product is equal to the product of the roots of each factor
32×2
Reduce the index of the radical and exponent with 2
32
327
Multiply by the Conjugate
32×272
Multiply the numbers
More Steps
Evaluate
32×2
When a square root of an expression is multiplied by itself,the result is that expression
3×2
Multiply the terms
6
672
n=±672
Separate the equation into 2 possible cases
n=672n=−672
Solution
n1=−672,n2=672
Alternative Form
n1≈−1.649916,n2≈1.649916
Show Solution