Question 401424
Rationalize the denominator of the square root of c – the square root of d/ the square root of c + the square root of d? Assume that all expressions under radicals represent positive numbers and simplify and type an exact answer using radicals as needed
:
{{{(sqrt(c) - sqrt(d))/(sqrt(c) + sqrt(d))}}}
Multiply by the conjugate of the denominator over itself
{{{(sqrt(c) - sqrt(d))/(sqrt(c) + sqrt(d))}}} * {{{(sqrt(c) - sqrt(d))/(sqrt(c) - sqrt(d))}}} = {{{(c - 2sqrt(cd) + d)/(c - d)}}}