Question

find the smallest number by which 3645 must be multiplied to get a perfect aware with process​

Answer 1

Answer:

The required smallest number by which 3645 must be multiplied to get a perfect square is 5.

Step-by-step explanation:

Answer 2

Answer:

${\boxed5}$

Step-by-step explanation:

$\underline{\Italics\:To Find:}$

The smallest number by which 3645 must be multiplied to get a perfect square= ?

$\underline{ \italics{Solution}}$:

⇒Factorise the given number  ( Figure Attached )

 3645 = 3 × 3 × 3 × 3 × 3 × 3 ×5

⇒Pair the same numbers

   3645 = 3 × 3  × 3 × 3 × 3 × 3 × 5

⇒Find the unpaired one

  3645 = 3 × 3  × 3 × 3 × 3 × 3 × ${\boxed5}$

∴The unpaired one, ${\boxed5}$  is the smallest number by which 3645 must be multiplied to get a perfect square.

$\boxed{\boxed{\bold{Verification}}}$

3645 × 5 is a perfect square

18225 is a perfect square with square root 135

⇒135 × 135 = 18225  .   Thus Proved