find the square root of the following numbers by prime factorization
a) 3844
b) 5625
c) 6561
d) 7056
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Step-by-step explanation:
a) 3844 :- 2×2×31×31
= 2²×31²
= underroot 2²×31²
b) 5625 :- 5×5×5×5×3×3
= 5 raise to 4 × 3²
= (underrrot of 5 raise to 4) ²×( 3²)²
c) 6561 :- 3×3×3×3×3×3×3×3
= 3 raise to 8
= ( underrooot 3 raise to 8 )²
d) 7056 :- 2×2×2×2 3×3 ×7×7
= 2 raise to 4 ×3²×7²
= (underroot 2 raise to 4×3²×7²)²
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