Why not 1/irrational? An older math teacher told me that I shouldn't leave a fraction with an irrational in the denominator. But lately, I keep hearing this from every math teacher that I have ever had.Thus if I have this fraction 1/(2^(1/2)) I should always convert it to one that has no irrationals in the denominator (2^(1/2))/(2) But why? My thought are that, just like the fact that we can't write out irrationals, we cant write fractions with irrational as denominators as decimals, but we can approximate them, so I don't see the problem. If we approximate 1/(sqrt 2) , it would be around 0.70710678118, so I dont understand why I shouldn't include irrationals in denominators, at least if I don't want some points deducted from a test.

Which expression has both 8 and n as factors???

One number is 2 more than 3 times another. Their sum is 22. Find the numbers
8, 14
5, 17
2, 20
4, 18
10, 12

Perform the indicated operation and simplify the result. Leave your answer in factored form
${\displaystyle \left[\frac{(4x-8)}{(-3x)}\right].\left[\frac{12}{(12-6x)}\right]}$

An ordered pair set is referred to as a ___?

Please, can u convert 3.16 (6 repeating) to fraction.

Write an algebraic expression for the statement '6 less than the quotient of x divided by 3 equals 2'.
A) $6-<!--\; -\; -->\frac{x}{3}=2$
B) $\frac{x}{3}-<!--\; -\; -->6=2$
C) 3x−6=2
D) $\frac{3}{x}-<!--\; -\; -->6=2$

Find: $2.48÷4$.

Multiplication $999\times <!--\; \times \; -->999$ equals.

Solve: (128÷32)÷(−4)=
A) -1
B) 2
C) -4
D) -3

What is ${\displaystyle 0.78888.....}$ converted into a fraction? ${\displaystyle \left(0.7\overline{8}\right)}$

The mixed fraction representation of 7/3 is...

How to write the algebraic expression given: the quotient of 5 plus d and 12 minus w?

Express 200+30+5+4100+71000 as a decimal number and find its hundredths digit.
A)235.47,7
B)235.047,4
C)235.47,4
D)234.057,7

Find four equivalent fractions of the given fraction:$\frac{6}{12}$

How to find the greatest common factor of ${\displaystyle 80x^3,30y{x}^2}$?