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

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​

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Eden 1 month 2021-08-13T08:22:07+00:00 1 Answer 0 views 0

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    2021-08-13T08:23:27+00:00

    \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

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