5. Find the square roots of the following numbers by the Prime Factorisation Method
(i) 729
(11) 400
(111) 1764
(iv) 4096
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Answer:
729
/ \
3 243
/ \
3 81
/ \
3 27
/ \
3 9
/ \
3 3
/ \
3 1
√729 = 27
400
/ \
2 200
/ \
2 100
/ \
2 50
/ \
2 25
/ \
5 5
/ \
5 1
√400 = 20
1764
/ \
2 882
/ \
2 441
/ \
3 147
/ \
3 49
/ \
7 7
/ \
7 1
√1764 = 42
4096
/ \
2 2048
/ \
2 1024
/ \
2 512
/ \
2 256
/ \
2 128
/ \
2 64
/ \
2 32
/ \
2 16
/ \
2 8
/ \
2 4
/ \
2 2
/ \
2 1
√4096 = 64
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