Math, asked by abcde65, 1 year ago

calculate the square roots of the following numbers. and please solve the question with full method. for example that first you have to show the prime factorization method then how the answer is coming hundred because I seen the answer it's hundred but how it is coming I don't know that so please solve it. I will make you as brain list.

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Answered by SillySam
4
Heya mate, Here is ur answer

10 | 10000
10 | 1000
10 | 100
10 | 10
| 1

Now prime factorisation of 10000 gives us the factors -

10000= 10×10 ×10×10

Making their square root

 \sqrt{10000} = \sqrt{10 \times 10 \times 10 \times 10}

When we take out any numbers from square root, remember we take them out in pairs.

Now, we have two pairs of 10 .

So,

 = 10 \times 10

=100

So, square root of 10000 is 100.

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@Laughterqueen

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