5. Given that the prime factorization of 1764 is 2^2×3^4×7^2, find √15876 without using a calculator.

5. Given that the prime factorization of 1764 is 2^2×3^4×7^2, find �

1.	5. Given that the prime factorization of 1764 is 2^2×3^4×7^2, find √15876 without using a calculator.
Answer» <html><body><p><strong>Answer:</strong></p><p>378</p><p><strong>Step-by-step <a href="https://interviewquestions.tuteehub.com/tag/explanation-455162" style="font-weight:bold;" target="_blank" title="Click to know more about EXPLANATION">EXPLANATION</a>:</strong></p><p><a href="https://interviewquestions.tuteehub.com/tag/given-473447" style="font-weight:bold;" target="_blank" title="Click to know more about GIVEN">GIVEN</a> that the <a href="https://interviewquestions.tuteehub.com/tag/prime-605748" style="font-weight:bold;" target="_blank" title="Click to know more about PRIME">PRIME</a> <a href="https://interviewquestions.tuteehub.com/tag/factorisation-458923" style="font-weight:bold;" target="_blank" title="Click to know more about FACTORISATION">FACTORISATION</a> of <a href="https://interviewquestions.tuteehub.com/tag/1764-1797043" style="font-weight:bold;" target="_blank" title="Click to know more about 1764">1764</a> is 2²×3⁴×7²</p><p>So √15876=√(9×1764)</p><p>=√(3²×2²×3⁴×7²)</p><p>=3×2×3²×7</p><p>=6×7×9</p><p>=42×9</p><p>=378</p></body></html>