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Number Theory: Interesting Results

Question

$3 + 2 \sqrt{5}$ a rational number.
True
False

A

True

B

False

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Solution

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Let's assume that $3 + 2 \sqrt{5}$ is rational.....

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Similar Questions

Q1

3 + 2 \sqrt{5}

a rational number.

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Q2

Express as equivalent fractions with rational denominator:

\frac{(\sqrt{3} + \sqrt{5}) (\sqrt{5} + \sqrt{2})}{\sqrt{2} + \sqrt{3} + \sqrt{5}}

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Q3

(a) Find ten rational number between - $\frac{2}{5}$ and $\frac{1}{2}$ .

(b) Insert 5 rational numbers and 2 irrational numbers between $\sqrt{2}$ and $\sqrt{3}$ .

[4 MARKS]

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Q4

is a rational number between

\frac{2}{3}

and

\frac{4}{5}

.

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Q5

Rational the denominator & simplify:-

\frac{3 \sqrt{3} + 1}{2 \sqrt{5} - 3}

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