Question

find the value of square 50625 and hence the value of square 506. 25 + 5.0 625

Answer 1

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$\sqrt{52625} = \sqrt{5 \times 5 \times 3 \times 3} \\ \\ \sqrt{50625} = \sqrt{ {5}^{2} \times {3}^{2} } \\ \\ \sqrt{50625} = \sqrt{15 ^{2} } \\ \\ \sqrt{50625} = 225 \\ \\ \sqrt{506.25} = \sqrt{ \frac{52625}{100} } \\ \\ \sqrt{506.25} = \frac{ \sqrt{50625} }{ \sqrt{100} } \\ \\ \sqrt{506.25} = \frac{225}{10} \\ \\ \sqrt{506.25} = 22.5 \\ \\ \sqrt{5.0625} = \sqrt{ \frac{50625}{10000} } \\ \\ \sqrt{5.0625} = \frac{ \sqrt{50625} }{ \sqrt{10000} } \\ \\ \sqrt{5.0625} = \frac{225}{100} \\ \\ \sqrt{5.0625} = 2.25$

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