SOLUTION: Question is to Simplify: 13 divided by the square root of 2? It is written as a fraction format. A. 13 multiplied by the square root of 2 and then divided by 2. (Fraction fo

Algebra ->  Square-cubic-other-roots -> SOLUTION: Question is to Simplify: 13 divided by the square root of 2? It is written as a fraction format. A. 13 multiplied by the square root of 2 and then divided by 2. (Fraction fo      Log On


   

Question 418918: Question is to Simplify: 13 divided by the square root of 2? It is written as a fraction format.
A. 13 multiplied by the square root of 2 and then divided by 2. (Fraction format)
B. 2 multiplied by the square root of 13.
C. 13 multipled by the square root of 2.
D. Square root of 13 divided by 2. Fraction Format
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
13%2Fsqrt%282%29
The reason this is not already simplified is that sqrt%282%29 is waht is called an irrational number and simplified expressions do not have irrational numbers in denominators. (Irrational numbers in numerators are OK.)

So to simplify this we need to get rid of the square root in the denominators somehow. We can get rid of the square root in the denominator by multiplying both the numerator and the denominator by some number that turns the denominator into a a rational number, i.e. the square root of a prefect square. The easiest way to turn the denominator into a perfect square is to multiply it by itself:
%2813%2Fsqrt%282%29%29%28sqrt%282%29%2Fsqrt%282%29%29
which simplifies as follows:
%2813%2Asqrt%282%29%29%2F%28sqrt%282%29%2Asqrt%282%29%29
%2813%2Asqrt%282%29%29%2F%28sqrt%284%29%29
%2813%2Asqrt%282%29%29%2F2
So the answer is A.