Question

Evaluate the squareroot of 1024 by using Prime Factorization method​

Answer 1

Step-by-step explanation:

1024= 2×2×2×2×2×2×2×2×2×2

Taking Square roots both side ,

We get =

√1024 = 2^5 = 32 .

Answer 2

Step-by-step explanation:g

Square Root of 1024 by Prime Factorization Method

Step 1: Determine the prime factors using prime factorization.

Step 2: Group the prime factors obtained for 1024 in pairs.

Step 3: Pick one factor from each pair.

Step 4: Thus, following the law of exponents, we get, √1024 = √(322) = 32.

Step 5: Thus, we have √1024 = +32 or -32.

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