Deciml into fraction

Rarely Tested

  • Rationalization: 1/(√a + √b) = (√a − √b)/(a−b)

  • $$ \frac{1}{\sqrt{N+1}-\sqrt{N}} ={\sqrt{N+1}+\sqrt{N}}$$

Formula Video


Question 1

If $$x = 9 + 4\sqrt{5}$$, what is $$x + \frac{1}{x}$$

Question 2

$$ \frac{1}{{3-2}\sqrt{2}}$$ - $$ \frac{1}{{3+2}\sqrt{2}}$$ = $$2^x$$. Find x?

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Other Logarithms, Surds and Indices Formulas


Properties of logarithm


Logarithmic Inequality

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