Question

find the smallest number by which 26136 should be divided to get a perfect square.also find the square root of the new number​

Answer 1

$\looparrowright$ Given :

• Number = 26136

$\looparrowright$ To Find :

• Perfect square number

• And its square root

$\huge \red{ \underline{ \underline{ \green{ \rm \: solution : }}}}$

• Prime factors -

$\implies$ 26136 = 2 × 2 × 2 × 3 × 3 × 3 × 11 × 11

$\rightrightarrows$ Least number :

$\: \mapsto \: \large \purple{2 \times 3 = } \green{ \boxed{ \boxed{\red{6}}}}$

$\therefore$ least number = 6

• On dovision :

$\implies \large \pink{26136 \div 6}$

$\bigstar \: \: \large \orange{ \boxed{ \red{ = 4356}}}$

• Now,

$\dashrightarrow \large \blue{\sqrt{4356} = } \green{ \boxed{ \boxed{ \purple{66}}}}$

$\therefore$ Smallest number by which 26136 should be divided to get a perfect square = 6

$\mapsto$ Number = 4356

$\bigstar$ Square root = 66