2250 యొక్క కారణాంకాల వర్గమూలాల్లో ఎన్ని సహజ సంఖ్యలు అవుతాయి?

This question was previously asked in
RRC Group D Previous Paper 42 (Held On: 16 Oct 2018 Shift 3)
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  1. 6
  2. 5
  3. 15
  4. 4

Answer (Detailed Solution Below)

Option 4 : 4
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ఉపయోగించబడిన కాన్సెప్ట్: ఈ రకం ప్రశ్నలో, కారణాంకాలు కూడా ఒక ఖచ్చితమైన వర్గం అయితే కారణాంకాల యొక్క వర్గ మూలాలు సహజ సంఖ్యగానే ఉంటాయి,

లెక్కింపు: 2250 = 2 × 32 × 53 గా వ్యక్తీకరించవచ్చు.

∴ 1, 32, 52, (3 × 5)2 అనే 4 కారణాంకాలు మాత్రమే ఉంటాయి, వీటి యొక్క వర్గ మూలాలు సహజ సంఖ్యగా ఉంటాయి.

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