Question

Find the greatest five digit number which is a perfect square. Also, find the square root of the number so obtained.

Answer 1

Division method

We know $99999$ is largest

$316$

_____________

$3$ $99999$

$+3$ $-9$

_________ _____________

$61$ $99$

$+1$ $-61$

_________ _____________

$626$ $3899$

$-3756$

_____________

$143$

$\therefore 99999-143=99856$ is perfect

$\Rightarrow \sqrt{99856}=316$.