Question

find the smallest number by which 2890 must be divided to get a perfect square also find the square root of the perfect square so obtained​

Answer 1

Answer:

10

Step-by-step explanation:

2890 = 2*1445 = 2*5*289 = 2*5*17*17

Clearly, this number needs to be divided by 10 to get a perfect square

Answer 2

$\mathfrak{\huge{\underline{Answer}}}$

If you will refer to attachment then will find that :

$2890= 2 \times 5 \times 17 \times 17$

Here we see that numbers 2 and 5 doesn't form a pair.

2 × 5 = 10

Therefore, we must divide the number by 10 so that quotient becomes perfect square.

$\frac{2890}{10} = 289$

The obtained number = 289

Square Root of number :

$\sqrt{289} = \sqrt{17 \times 17}$

$\sqrt{289} = 17$