Answer Key 9.1

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1. \(\sqrt{5\cdot 49}\)
   \(\pm 7\sqrt{5}\)
2. \(\sqrt{5\cdot 25}\)
   \(\pm 5\sqrt{5}\)
3. \(2\cdot (\pm 6)\)
   \(\pm 12\)
4. \(5\cdot (\pm 14)\)
   \(\pm 70\)
5. \(\sqrt{4\cdot 3}\)
   \(\pm 2\sqrt{3}\)
6. \(\sqrt{36\cdot 2}\)
   \(\pm 6\sqrt{2}\)
7. \(3\sqrt{4\cdot 3}\)
   \(3\cdot 2\sqrt{3}\)
   \(\pm 6\sqrt{3}\)
8. \(5\sqrt{16\cdot 2}\)
   \(5\cdot 4\sqrt{2}\)
   \(\pm 20\sqrt{2}\)
9. \(6\sqrt{64\cdot 2}\)
   \(6\cdot 8\sqrt{2}\)
   \(\pm 48\sqrt{2}\)
10. \(7\sqrt{64\cdot 2}\)
    \(7\cdot 8\sqrt{2}\)
    \(\pm 56\sqrt{2}\)
11. \(-7\cdot 8x^2\)
    \(\pm 56x^2\)
12. \(-2\sqrt{64\cdot 2\cdot n\)
    \(-2\cdot 8\sqrt{2n}\)
    \(\pm 16\sqrt{2n}\)
13. \(-5\cdot 6\sqrt{m}\)
    \(\pm 30\sqrt{m}\)
14. \(8\sqrt{7\cdot 16\cdot p^2}\)
    \(8\cdot 4\cdot p\sqrt{7}\)
    \(\pm 32p\sqrt{7}\)
15. \(\sqrt{5\cdot 9\cdot x^2\cdot y^2}\)
    \(\pm 3xy\sqrt{5}\)
16. \(\sqrt{2\cdot 36\cdot a\cdot a^2\cdot b^4}\)
    \(\pm 6ab^2\sqrt{2a}\)
17. \(\sqrt{16\cdot x^2\cdot x\cdot y^2\cdot y}\)
    \(\pm 4xy\sqrt{xy}\)
18. \(\sqrt{2\cdot 256\cdot a^4\cdot b^2}\)
    \(\pm 16a^2b\sqrt{2}\)
19. \(\sqrt{5\cdot 64\cdot x^4\cdot y^4}\)
    \(\pm 8x^2y^2\sqrt{5}\)
20. \(\sqrt{2\cdot 256\cdot m^4\cdot n^2\cdot n}\)
    \(\pm 16m^2n\sqrt{2n}\)