Question

find the square root of the following
number by using prime factorisation method
(i) 2304
root of following
actorisation
(ii) 324
C 729
(iv) 784
(vi) 1225​

Answer 1

Answer:

the square root of 2304 is 48

Answer 2

Answer:

√2304 = √(2×2×2×2×2×2×2×2×3×3) = √(2^8 × 3^2) = 2⁴×3 = 48

√324 = √(2×2×3×3×3×3) = √(2²×3⁴) = 2 × 3² = 18

√729 = √(3×3×3×3×3×3) = √(3^6) = 3³ = 27

√784 = √(2×2×2×2×7×7) = √(2⁴×7²) = 2²×7 = 112

√1225 = √(5×5×7×7) = √(5²×7²) = 5×7 = 35

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