Question
Simplify the expression
631n2−8
Evaluate
n2×631−8
Solution
631n2−8
Show Solution

Find the roots
n1=−63121262,n2=63121262
Alternative Form
n1≈−0.112598,n2≈0.112598
Evaluate
n2×631−8
To find the roots of the expression,set the expression equal to 0
n2×631−8=0
Use the commutative property to reorder the terms
631n2−8=0
Move the constant to the right-hand side and change its sign
631n2=0+8
Removing 0 doesn't change the value,so remove it from the expression
631n2=8
Divide both sides
631631n2=6318
Divide the numbers
n2=6318
Take the root of both sides of the equation and remember to use both positive and negative roots
n=±6318
Simplify the expression
More Steps

Evaluate
6318
To take a root of a fraction,take the root of the numerator and denominator separately
6318
Simplify the radical expression
More Steps

Evaluate
8
Write the expression as a product where the root of one of the factors can be evaluated
4×2
Write the number in exponential form with the base of 2
22×2
The root of a product is equal to the product of the roots of each factor
22×2
Reduce the index of the radical and exponent with 2
22
63122
Multiply by the Conjugate
631×63122×631
Multiply the numbers
More Steps

Evaluate
2×631
The product of roots with the same index is equal to the root of the product
2×631
Calculate the product
1262
631×63121262
When a square root of an expression is multiplied by itself,the result is that expression
63121262
n=±63121262
Separate the equation into 2 possible cases
n=63121262n=−63121262
Solution
n1=−63121262,n2=63121262
Alternative Form
n1≈−0.112598,n2≈0.112598
Show Solution
