Simplify \(78-52\) to \(26\).
\[\sqrt{78\times 26(78-65)(78-39)}\]
Simplify \(78-65\) to \(13\).
\[\sqrt{78\times 26\times 13(78-39)}\]
Simplify \(78-39\) to \(39\).
\[\sqrt{78\times 26\times 13\times 39}\]
Simplify \(78\times 26\) to \(2028\).
\[\sqrt{2028\times 13\times 39}\]
Simplify \(2028\times 13\) to \(26364\).
\[\sqrt{26364\times 39}\]
Simplify \(26364\times 39\) to \(1028196\).
\[\sqrt{1028196}\]
Since \(1014\times 1014=1028196\), the square root of \(1028196\) is \(1014\).
\[1014\]
1014
