Question

find the smallest number which 6075 is to be divided to get a perfect square and also find there square root of the resulting number
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Answer 1

Answer:

Now 6075/3=2025. Thus 6075 must be divided by 3 which is the smallest number to make perfect square:2025.

2025 is the square of 45.

45*45=2025.

Answer 2

Answer:

The smallest number which 6075 is to be divided to get a perfect square is 3.

The square root of 2025 is 45.

Step-by-step explanation:

Given : The smallest number which 6075 is to be divided to get a perfect square.

To find : There square root of the resulting number ?

Solution :

$6075=3\times 3\times 3\times 3 \times 3\times 5\times 5$

$6075=3^2\times 3^2\times 3\times 5^2$

$6075=(3\times 3\times 5)^2\times 3$

Divide the equation by 3,

$\frac{6075}{3}=\frac{(3\times 3\times 5)^2\times 3}{3}$

$2025=(45)^2$

$\sqrt{2025}=45$

The smallest number which 6075 is to be divided to get a perfect square is 3.

The square root of 2025 is 45.