Question
Simplify the expression
529k2−8
Evaluate
k2×529−8
Solution
529k2−8
Show Solution

Find the roots
k1=−2322,k2=2322
Alternative Form
k1≈−0.122975,k2≈0.122975
Evaluate
k2×529−8
To find the roots of the expression,set the expression equal to 0
k2×529−8=0
Use the commutative property to reorder the terms
529k2−8=0
Move the constant to the right-hand side and change its sign
529k2=0+8
Removing 0 doesn't change the value,so remove it from the expression
529k2=8
Divide both sides
529529k2=5298
Divide the numbers
k2=5298
Take the root of both sides of the equation and remember to use both positive and negative roots
k=±5298
Simplify the expression
More Steps

Evaluate
5298
To take a root of a fraction,take the root of the numerator and denominator separately
5298
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
52922
Simplify the radical expression
More Steps

Evaluate
529
Write the number in exponential form with the base of 23
232
Reduce the index of the radical and exponent with 2
23
2322
k=±2322
Separate the equation into 2 possible cases
k=2322k=−2322
Solution
k1=−2322,k2=2322
Alternative Form
k1≈−0.122975,k2≈0.122975
Show Solution
