Question 538883
Rationalise the denominator:
{{{sqrt(7a/32)}}}={{{sqrt(7a)/sqrt(32)}}}
To "rationalise" the denominator means to remove the radical sign and this can be done here by multiplying the numerator and the denominator by {{{sqrt(32)}}}.
{{{sqrt(7a)*sqrt(32)/(sqrt(32)*sqrt(32))}}} Substitute {{{sqrt(32)*sqrt(32) = 32}}}
{{{sqrt(7a)*sqrt(32)/32}}} Perform the indicated multiplication in the numerator.
{{{sqrt(32*7a)/32}}}
{{{sqrt(224a)/32}}} Rewrite {{{224 = 16*14}}}
{{{sqrt(16*14a)/32}}} Take the square root of 16 (that's 4) and move it outside the radical.
{{{4*sqrt(14a)/32}}} Rewrite {{{32 = 4*8}}}
{{{4*sqrt(14a)/(4*8)}}} Cancel the 4's
{{{sqrt(14a)/8}}} or {{{(1/8)sqrt(14a)}}}