Find three numbers to make the expression rational`sqrt(x+y+z)`

Friday, July 23, 2010

Find three numbers to make the expression rational $\displaystyle\sqrt{{{x}+{y}+{z}}}$

An expression represents a rational number if the simplified result yields a number of the form $\displaystyle\frac{{p}}{{q}}$ where p and q are integers and $\displaystyle{q}\ne{0}$

A square root is rational only if the expression in the radical simplifies to a perfect square. Thus $\displaystyle{x}+{y}+{z}$ must add to a perfect square.

Examples include x=y=z=0

x=y=1, z=2

x=y=z=3/4

x=2,y=6,z=8

etc...

Blog

Friday, July 23, 2010

Find three numbers to make the expression rational $\displaystyle\sqrt{{{x}+{y}+{z}}}$

No comments:

Post a Comment

Thomas Jefferson's election in 1800 is sometimes called the Revolution of 1800. Why could it be described in this way?

Friday, July 23, 2010

Find three numbers to make the expression rational

No comments:

Post a Comment

Thomas Jefferson&#39;s election in 1800 is sometimes called the Revolution of 1800. Why could it be described in this way?

Find three numbers to make the expression rational $\displaystyle\sqrt{{{x}+{y}+{z}}}$

Thomas Jefferson's election in 1800 is sometimes called the Revolution of 1800. Why could it be described in this way?