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How do you rationalize the denominator in this expression 3 over quantity of 6 minus square root of 5?
Multiply the expression (fraction) by (6 + √5)/(6 + √5) (which is 1 and will not change its value).
3/(6 - √5) x (6 + √5)/(6 + √5)
= 3(6 + √5)/(6 - √5)(6 + √5)
= 3(6 + √5)/(36-5) = 3(6 + √5)/31
= 3/31(6 + √5)
Remember:
(a + b)(a - b) = a2 - ab + ab - b2
= a2 - b2
So if either a or b contains a square root, a2 and b2 will not, and so a2 - b2 will not!
What else can I help you with?
How do you rationalize the denominator in this expression 3 divided by the square root of 2?
1.5
Rationalize 5 over square root of 6?
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.
What is the rationalizes denominator of 42 divided by the square root of 7?
6
What is the square root of helium?
Square root is a mathematical function whose argument needs to be a mathematical quantity or expression. Since helium is neither a mathematical quantity nor an expression, the question makes no sense.
How do you rationalize denominator surds?
An example may help. If you have the fraction 1 / (2 + root(3)), where root() is the square root function, you multiply top and bottom by (2 - root(3)). If you multiply everything out, you will have no square root in the denominator, instead, you will have a square root in the numerator. If the denominator is only a root, eg root(3), you multiply top and bottom by root(3).
How do you rationalize the denominator in this expression 3 divided by the square root of 2?
1.5
How do you rationalize the denominator in this expression 2 divided by the square root of 3 plus the square root of 2?
Multiply everything by the square root of 3 minus the square root of 2 and then times that by 100 - 72 and divide that by 5
Rationalize the denominator -8 divided by the square root of 18x?
-26
Rationalize 5 over square root of 6?
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.
What is the rationalizes denominator of 42 divided by the square root of 7?
6
Can you rationalize the denominator using conjugates even when the denominator contains two radical terms?
Yes. For example, the conjugate of (square root of 2 + square root of 3) is (square root of 2 - square root of 3).
Can you use conjugates to rationalize the denominator even when the denominator contains two radical terms?
Yes. The original denominator and its conjugate will form the factors of a Difference of Two Squares (DOTS) and that will rationalise the denominator but only if the radicals are SQUARE roots.
What is 8 over square root of 5?
If you want to rationalize the denominator, then multiply numerator & denominator by sqrt(5), so 8*sqrt(5)/5 = approx 3.578
Can 2 divided by 2 square root 3 be simplified?
Yes, the expression 2 divided by 2 square root 3 can be simplified. To simplify this expression, we need to rationalize the denominator. Multiplying both the numerator and the denominator by the conjugate of the denominator (2 square root 3), we get (2 * 2 square root 3) / (2 * 2 square root 3 * 2 square root 3). This simplifies to 4 square root 3 / 12, which further simplifies to square root 3 / 3.
What is 6 divided by the square root of 15?
0.4
What is the square root of helium?
Square root is a mathematical function whose argument needs to be a mathematical quantity or expression. Since helium is neither a mathematical quantity nor an expression, the question makes no sense.
How do you rationalize denominator surds?
An example may help. If you have the fraction 1 / (2 + root(3)), where root() is the square root function, you multiply top and bottom by (2 - root(3)). If you multiply everything out, you will have no square root in the denominator, instead, you will have a square root in the numerator. If the denominator is only a root, eg root(3), you multiply top and bottom by root(3).
