Question

why 600 is not a perfect square? explain​

Answer 1

Step-by-step explanation:

perfect square means a no after square root results in a whole no. and not irrational number

For example square root of 144 is 12 because after prime factorization 144=2^4×3^2

Taking the pairs of 2 and 3 we get 2×2×3=12because we have to square root.

Now do the same for 600 we will not get the same.

Answer 2

Question :

why 600 is not a perfect square ?

Answer :

To test whether the given number is a perfect square or not , we find its prime factors , if these prime factors can be expressed in pairs of equal factors , the given number is a perfect square .

Prime factors of 600 are :-

$\large\begin{array}{r | l} </p><p>2 & 600 \\</p><p>\hline 2 & 300 \\</p><p>\hline 2 & 150 \\ </p><p>\hline 3 & 75 \\</p><p>\hline 5 & 25 \\</p><p>\hline 5 & 5 \\ </p><p>\hline 1 & 1 </p><p>\end{array}$

Checking the factors into pairs of equal factors , we find that 3 and 1 left, so 600 is not a perfect square . ❌

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