Leadership

Mathematics

Test your understanding of this lesson Operations on surds | Part-4:-

1)
The simplified value of \(4\sqrt{8}+5\sqrt{32}-6\sqrt{128}+12\sqrt{162}\) is
  • 88+\sqrt{2}
  • 88\sqrt{2}
  • 16+\sqrt{2}
  • 16\sqrt{2}
2)
The simplified value of \(2\sqrt[3]{40}+3\sqrt[3]{625}-4\sqrt[3]{320}\) is
  • 0
  • 1
  • \(\sqrt[3]{5}\)
  • \(3\sqrt[3]{5}\)
3)
\(\sqrt[4]{81}-8\sqrt[3]{216}+15\sqrt[6]{32}+\sqrt{256}\)=
  • 0
  • 1
  • \(\sqrt{2}\)
  • \(\sqrt{5}\)
4)
If \(a=\frac{\sqrt{3}+1}{\sqrt{3}-1}\), \(b=\frac{\sqrt{3}-1}{\sqrt{3}+1}\) then \(a^{2}+3ab+b^{2}\)=
  • 17
  • 15
  • \(\sqrt{3}\)
  • \(2\sqrt{3}\)
5)
If \(3\sqrt{147}-\frac{7}{3}\sqrt{\frac{1}{3}}+7\sqrt{\frac{1}{3}}= a\sqrt{3}\) then a=
  • \(\frac{213}{9}\)
  • \(\frac{289}{9}\)
  • \(\frac{71}{9}\)
  • \(\frac{203}{9}\)
Hand draw

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