Question

find the smallest number by which 1800 must be divided so that the quotient is a perfect square. also find the square root of the quotient ​

Answer 1

Answer:

we should have to find the prime factrisation of 1800

then 1800=2×2×2×3×3×5×5

on observing, we find all no. s were making pairs except a single 2 so we should divide 1800/2 so that it gives a perfect square 900.

1800/2=900

square root of 900 is 30._ans

Answer 2

Answer:

The smallest number is $2$.

The quotient is $900$.

The square root is $30$.

Step-by-step explanation:

We are given that the number is $1800$.

Dividing it by $2$

The quotient is $900$.

The factors of $900=3*3*10*10$

Square root is number obtained by itself.

So, $\sqrt{900}=3*10$

$=30$

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