Question 67142
square root of p + square root of p+3=3
{{{sqrt(p)+sqrt(p+3)=3}}}
{{{sqrt(p)-sqrt(p)+sqrt(p+3)=3-sqrt(p)}}}
{{{sqrt(p+3)=3-sqrt(p)}}}
{{{(sqrt(p+3))^2=(3-sqrt(p))^2}}}
{{{p+3=(3)^2-3*sqrt(p)-3*sqrt(p)+sqrt(p)^2}}}
{{{p+3=9-6*sqrt(p)+p}}}
{{{p-p+3=9-6*sqrt(p)+p-p}}}
{{{3=9-6*sqrt(p)}}}
{{{3-9=9-9-6*sqrt(p)}}}
{{{-6=-6*sqrt(p)}}}
{{{-6/-6=-6*sqrt(p)/-6}}}
{{{1=sqrt(p)}}}
{{{1^2=(sqrt(p))^2}}}
{{{1=p}}}
Check to make sure this answer is not extraneous:
{{{sqrt(1)+sqrt(1+3)=3}}}
{{{1+sqrt(4)=3}}}
{{{1+2=3}}}
{{{3=3}}}  The answer is valid.
{{{highlight(p=1)}}}
Happy Calculating!!!!