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» Answer: 378 Step-by-step EXPLANATION: GIVEN that the PRIME FACTORISATION of 1764 is 2²×3⁴×7² So √15876=√(9×1764) =√(3²×2²×3⁴×7²) =3×2×3²×7 =6×7×9 =42×9 =378

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

Answer»

Answer:

378

Step-by-step EXPLANATION:

GIVEN that the PRIME FACTORISATION of 1764 is 2²×3⁴×7²

So √15876=√(9×1764)

=√(3²×2²×3⁴×7²)

=3×2×3²×7

=6×7×9

=42×9

=378