क्या घन संख्याएँ भी वर्ग संख्याएँ होती हैं? क्या चतुर्थ घात वर्ग संख्याएँ भी होती हैं?

Mathematics
क्या घन संख्याएँ भी वर्ग संख्याएँ होती हैं? क्या चतुर्थ घात वर्ग संख्याएँ भी होती हैं?

ScanSolve AI Answer

Step 1: Solve Question 4. a) घन संख्याएँ भी वर्ग संख्याएँ होती हैं। (Are cube numbers also square numbers?) A number that is both a cube and a square must be a perfect sixth power. For example, 13=12=11^3 = 1^2 = 1, and 43=64=824^3 = 64 = 8^2. Since some cube numbers are also square numbers, this statement is कभी-कभी सत्य है (sometimes true).

b) चतुर्थ घात वर्ग संख्याएँ भी होती हैं। (Are fourth powers also square numbers?) A fourth power can be written as n4=(n2)2n^4 = (n^2)^2. Since any fourth power can be expressed as the square of another number (n2n^2),

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