The concept of common denominator makes sense to numbers whose denominators are integers. If the context of fractions, any denominator is divisible by any other [non-zero] number.
Start by finding a common denominator. If the radical includes the entire fraction (3/4 for the first part), the common denominator would be square root of 12.
Depends on the situation. You usually have to multiply numerator and denominator by some number or expression. Examples: 1 / square root of 2 Here, you have to multiply numerator and denominator by the square root of 2. 1 / (square root of 2 + square root of 3) Here, you have to multiply numerator and denominator by (square root of 2 - square root of 3).
Multiply the entire expression by a least common multiple and then simplify the expression. In this case, the least common multiple is 30 so multiply the entire expression by 30 and simplify.
Have not gotten to that in my granddaughter's math....but I would imagine taking it to the common denominator first and go from there. That's how you do fractions.
The idea is to get rid of the square root in the denominator. For this purpose, you must multiply numerator and denominator by the square root of 6 in this case.
It is called rationalizing the denominator, and it is done by multiplying numerator and denominator by appropriate numbers. Note that if you do that, you will usually end up with radicals in the numerator. Examples: 1 / (square root of 2): Multiply numerator and denominator by the square root of 2. 1 / (square root of 2 + square root of 3): Multiply numerator and denominator by (square root of 2 - square root of 3).
Another square number.
Start by finding a common denominator. If the radical includes the entire fraction (3/4 for the first part), the common denominator would be square root of 12.
Depends on the situation. You usually have to multiply numerator and denominator by some number or expression. Examples: 1 / square root of 2 Here, you have to multiply numerator and denominator by the square root of 2. 1 / (square root of 2 + square root of 3) Here, you have to multiply numerator and denominator by (square root of 2 - square root of 3).
Join of park
Multiply the entire expression by a least common multiple and then simplify the expression. In this case, the least common multiple is 30 so multiply the entire expression by 30 and simplify.
Have not gotten to that in my granddaughter's math....but I would imagine taking it to the common denominator first and go from there. That's how you do fractions.
The idea is to get rid of the square root in the denominator. For this purpose, you must multiply numerator and denominator by the square root of 6 in this case.
This is related to the technique used to eliminate square roots from the denominator. If, for example, the denominator is 4 + root(3), you multiply both numerator and denominator by 4 - root(3). In this case, "4 - root(3)" is said to be the "conjugate" of "4 + root(3)". When doing this, there will be no more square roots in the denominator - but of course, you'll instead have a square root in the numerator.
36
The lowest common multiple of 6a and 8a is 24a.
That is called "rationalizing the denominator". It consists of multiplying the numerator and the denominator by specific terms, which include square roots. Examples:* If the denominator is root(2) (that is, the square root of 2), multiply numerator and denominator by root(2). * If the denominator is root(2) + root(3), multiply numerator and denominator by root(2) - root(3).