3 years ago

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

Mathematics

1 answer:

EastWind [94]3 years ago

5 0

Answer:

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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