Question

can some one pls answer this q correctly ... maths square and square roots class 8

Find the square root of the following numbers by prime factorization method. Identify which of these numbers are perfect squares. a. 1024


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Answer 1

hope it's helpful to you

Answer 2

The factors of 1024 are:

$2×2×2×2×2×2×2×2×2×2$

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This can also be written as :

$1024=2²×2²×2²×2²×2²$

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now ,put square root on both sides:

$\sqrt{1024} = \sqrt{ {2}^{2} \times {2}^{2} \times {2}^{2} \times {2}^{2} \times {2}^{2} }$

$\sqrt{1024} = 2 \times 2 \times 2 \times 2 \times 2$

$\sqrt{1024} = 32$

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Hence, the square root of 1024 is 32.

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