Question

Find the square root of 529 by using Estimation method
plz give answer step by step ​

Answer 1

Answer:

The square root of 529 is 23.

Step-by-step explanation:

We need to find the square root of 529 by prime factorization method. For this, we need to factorize 529 first.

The factors of 529 are : 23 × 23

So, the square root of 529 is :

\begin{gathered}\sqrt{529} =\sqrt{23\times 23} \\\\\sqrt{529} =23\end{gathered}529=23×23529=23

So, the square root of 529 is 23.

Step-by-step explanation:

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Answer 2

Answer:

23...................

Explanation

Do this by testing perfect squares until you get to a number whose square if greater that

529

(for example

25

2

=

625

)

So we test

2

2

=

4

. Clearly

4

is not a factor of

529

(nor is any other even number.

Test

3

2

=

9

which is not a factor. Skip

4

2

because it is even.

Obviously

5

2

=

25

is not a factor. Skip

6

2

.

Keep going . . .

23

2

=

529

so we're finished.

√

529

=

23