How do you rationalize the denominator and simplify #1/sqrty#?

1 Answer
May 31, 2016

Answer:

#1/sqrt(y)-=sqrt(y)/y#

The #-=# means 'equivalent to'.

Explanation:

Mathematicians do not like a root to be in the denominator if at all possible. Consequently you should always look to remove it if able. Unless instructed otherwise.

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Multiply by 1 and you do not change the value. However the value of 1 comes in many forms so you may change the way something looks without changing its intrinsic value.

Given:#" "1/sqrt(y)#

Multiply by 1 but in the form of #1=sqrt(y)/sqrt(y)# giving:

#" "1/sqrt(y)xxsqrt(y)/sqrt(y) = sqrt(y)/y#

Hence the rationalised denominator condition is:#" "sqrt(y)/y#