SOLUTION: simplify square root of 1 over 6

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: simplify square root of 1 over 6      Log On


   

Question 87860: simplify square root of 1
over
6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%281%2F6%29 Start with the given expression

sqrt%281%29%2Fsqrt%286%29 Break up the square roots using the identity sqrt%28x%2Fy%29=sqrt%28x%29%2Fsqrt%28y%29
Lets simplify the numerator
Since 1 is a perfect square, we can take the square root of 1 to get a clean number
sqrt%281%29=1

Lets simplify the denominator

sqrt%286%29 Start with the given expression
The goal of simplifying expressions with square roots is to factor the radicand into a product of two numbers. One of these two numbers must be a perfect square. This way the perfect square will become a rational number.
So let's list the factors of 6
Factors:
1, 2, 3,6
Since none of these factors are perfect squares, we cannot simplify sqrt%286%29

So the expression
sqrt%281%2F6%29
simplifies to
1%2Fsqrt%286%29