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Thepotemich [5.8K]
2 years ago
14

Compute $\sqrt{25^2-7^2}$.

Mathematics
1 answer:
EastWind [94]2 years ago
5 0

Answer:

24

Step-by-step explanation:

\sqrt{25^2-7^2}\\\\=\sqrt{(25-7)(25+7)}\\\\=\sqrt{18(32)}\\\\=\sqrt{9*2*2^5}\\\\=\sqrt{3^2\cdot 2^6}\\\\=\sqrt{(3\cdot2^3)^2}\\\\=3\cdot2^3\\\\=3\cdot8\\\\=24

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