Question 93424
{{{sqrt(x + 11) = sqrt(x) + 1}}}
{{{(x + 11) = (sqrt(x) + 1)}^2}}} [squaring both sides]
{{{x + 11 = x + 2sqrt(x) + 1}}}
{{{x + 11 - x - 1 = 2sqrt(x)}}}
{{{10 = 2sqrt(x)}}}
{{{sqrt(x) = 10/2 = 5}}}
{{{x = 5^2}}}
{{{x = 25}}} [again squaring both sides]