Is zero a rational number?can you write it in the form \(\frac { p }{ q } \),where p and q are integers and \(q\neq 0\)?

3

(a)

Find six rational numbers between 3 and 4.

3

(a)

Write the following in decimal form and say what kind of decimal expansion each has:
\(\frac { 3 }{ 13 } \)

3

(a)

Write the following in decimal form and say what kind of decimal expansion each has:
\(\frac { 2 }{ 11 } \)

3

(a)

Express the following in the form p/q, where p and q are integers and \(q\neq 0\)
\(0.\overline { 001 } \)

3

(a)

Classify the following numbers as rational or irrational: \(\frac { 1 }{ \sqrt { 2 } } \)

3

(a)

Simplify each of the following expressions: \((3+\sqrt{3})(3-\sqrt{3})\)

3

(a)

Express \(2.\overline { 93 } \) in the form of \(\frac { p }{ q } \), where p and q are integers, \(q\neq 0\)

3

(a)

Explain \(1.\overline { 32 } +0.\overline { 35 } \) as a fraction in simplest form.

3

(a)

Rationalize the denominator of \(\frac { 4 }{ 2+\sqrt { 3 } +\sqrt { 7 } } \)

3

(a)

Find the value of \({ \left( 729 \right) }^{ \frac { -1 }{ 6 } }\)

3

(a)

Evaluate: \(\sqrt{5+2\sqrt{6}}+\sqrt{8-2\sqrt{15}}\)

3

(a)

Simplify: \(\frac { 1 }{ 1+\sqrt { 2 } } +\frac { 1 }{ \sqrt { 2 } +\sqrt { 3 } } +\frac { 2 }{ \sqrt { 3 } +\sqrt { 5 } } \)

3

(a)

Evaluate: \(\frac { \sqrt { 5 } +\sqrt { 2 } }{ \sqrt { 5 } -\sqrt { 2 } } \), given that √10 = 3.162

3

(a)

Find the values of a and b, when a+b√15 = \(\frac { \sqrt { 5 } +\sqrt { 3 } }{ \sqrt { 5 } -\sqrt { 3 } } \)

3

(a)