rationalise the denominator and simplify fully.
18 divided by the sqare route of 2
2006-11-12 02:13:58 · 18 answers · asked by a7rtw 2 in Science & Mathematics ➔ Mathematics
multiply top and bottom by √2 so numerator is 18√2 and denominator is 2. Then divide 18 by 2 to get 9√2.
2006-11-12 02:18:56 · answer #1 · answered by Anonymous · 0⤊ 0⤋
There are a variety sets of numbers. One is called irrational numbers (ones which have an infinite number of numbers after the decimal point if expressed as a decimal) and rational numbers (they dont!) sqrt(2) is irrational and so to "rationalise the denominator" means to make it into a number which is in the set of rational numbers. See the working out that follows.
18 / sqrt(2) (multiply top and bottom by sqrt(2))
= 18 * sqrt(2) / (sqrt(2) * sqrt (2))
= 18 * sqrt(2) / 2 (denominator is now rationalised)
= 9 * sqrt(2) (this cannot be simplified any further)
2006-11-12 04:19:03 · answer #2 · answered by Steve G 2 · 0⤊ 0⤋
18
2006-11-12 02:20:55 · answer #3 · answered by Anonymous · 0⤊ 0⤋
9 root 2
2006-11-14 07:11:24 · answer #4 · answered by combs 5 · 0⤊ 0⤋
9 root 2
2006-11-12 02:21:43 · answer #5 · answered by rock_angel3005 2 · 0⤊ 0⤋
Here U can make use of the formula ~ x/y = Sq rt x2/y2
Using that formula : we can rewrite the question as
18/sq.rt 2 = Sq.Rt 18^2/2 = Sq.Rt 324/2 = Sq. Rt 162
= 9* Sq.rt 2
2006-11-12 02:36:37 · answer #6 · answered by Alrahcam 4 · 0⤊ 0⤋
if you take the numerator and the denominator and multiply them both by sqrt of 2, then you get 18sqrt2/2. divide 18/2 and get 9sqrt2 good luck
2006-11-12 02:30:44 · answer #7 · answered by Matthew S 1 · 0⤊ 0⤋
18/root of 2 * root of 2/root of two = 9 root of 2
2006-11-12 09:14:38 · answer #8 · answered by Treat 2 · 0⤊ 0⤋
18/â2
= (9x2)/â2
= 9 x (2/â2)
= 9â2
2006-11-14 12:04:30 · answer #9 · answered by Kemmy 6 · 0⤊ 0⤋
square route of 2 is 1.4
18 divided by 1.4 is 12.8
2006-11-12 07:08:31 · answer #10 · answered by Tahmid D 1 · 0⤊ 0⤋