Question

find the square root of 10.6276 by prime factorization method​

Answer 1

Answer:

Step-by-step explanation:

$10.6276=\frac{106276}{10000} \\\\Now \ prime \ factors \ of \ 1062776=2^2\times163^2\\\\and \ prime \ factors \ of \ 10000=100^2\\\\Thus \\\\\sqrt{10.6276} =\sqrt{\frac{106276}{10000} } \\\\=\sqrt{\frac{2^2 \times 163^2}{100^2} } \\\\=\frac{2 \times 163}{100} \\\\\bf=\frac{326}{100}=3.26$