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Mathematics

Nine Standard

Test your understanding of this lesson Operations on surds | Part-3:-

1)
Conversion on \(\sqrt[3]{2}\) to a twelfth order with positive index is
  • \(\sqrt[12]{16}\)
  • \(\sqrt[12]{8}\)
  • \(\sqrt[12]{4}\)
  • \(\sqrt[12]{6}\)
2)
Conversion on \(\sqrt[3]{5}\) to sixth root with positive index is
  • \(\sqrt[6]{10}\)
  • \(\sqrt[6]{25}\)
  • \(\sqrt[6]{15}\)
  • \(\sqrt[6]{125}\)
3)
\(\sqrt[4]{81}\)-8\(\sqrt[3]{216}\)+9\(\sqrt{25}\)=
  • 0
  • 1
  • 2
  • 5
4)
\(\sqrt[3]{27}\)-\(\sqrt[6]{64}\)+\(\sqrt[3]{125}\)-8=
  • -1
  • -2
  • 3
  • none of these
5)
\(\sqrt{3}\),\(\sqrt[3]{6}\),\(\sqrt[4]{5}\) can be arranged in the form
  • \(\sqrt{3}\)<\(\sqrt[3]{6}\)<\(\sqrt[4]{5}\)
  • \(\sqrt[4]{5}\)<\(\sqrt{3}\)<\(\sqrt[3]{6}\)
  • \(\sqrt[4]{5}\)<\(\sqrt[3]{6}\)<\(\sqrt{3}\)
  • \(\sqrt[3]{6}\)<\(\sqrt{3}\)<\(\sqrt[4]{5}\)
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