Question
Simplify the expression
511k2−16600
Evaluate
k2×511−16600
Solution
511k2−16600
Show Solution

Find the roots
k1=−5111084826,k2=5111084826
Alternative Form
k1≈−5.69959,k2≈5.69959
Evaluate
k2×511−16600
To find the roots of the expression,set the expression equal to 0
k2×511−16600=0
Use the commutative property to reorder the terms
511k2−16600=0
Move the constant to the right-hand side and change its sign
511k2=0+16600
Removing 0 doesn't change the value,so remove it from the expression
511k2=16600
Divide both sides
511511k2=51116600
Divide the numbers
k2=51116600
Take the root of both sides of the equation and remember to use both positive and negative roots
k=±51116600
Simplify the expression
More Steps

Evaluate
51116600
To take a root of a fraction,take the root of the numerator and denominator separately
51116600
Simplify the radical expression
More Steps

Evaluate
16600
Write the expression as a product where the root of one of the factors can be evaluated
100×166
Write the number in exponential form with the base of 10
102×166
The root of a product is equal to the product of the roots of each factor
102×166
Reduce the index of the radical and exponent with 2
10166
51110166
Multiply by the Conjugate
511×51110166×511
Multiply the numbers
More Steps

Evaluate
166×511
The product of roots with the same index is equal to the root of the product
166×511
Calculate the product
84826
511×5111084826
When a square root of an expression is multiplied by itself,the result is that expression
5111084826
k=±5111084826
Separate the equation into 2 possible cases
k=5111084826k=−5111084826
Solution
k1=−5111084826,k2=5111084826
Alternative Form
k1≈−5.69959,k2≈5.69959
Show Solution
