Real numbers, surds and number bases

Question 1 of 10

Find x if 32ₓ = 23₁₀.

Question 2 of 10

Convert 25 (base ten) to base five.

Question 3 of 10

Arrange √2, 1.5, 7/5 in ascending order.

Question 4 of 10

Rationalise the denominator of 6/√3.

Question 5 of 10

Simplify √12 × √3.

Question 6 of 10

Rationalise 1/(√5 − √3).

Question 7 of 10

Find the value of 1011₂ × 11₂ in base two.

Question 8 of 10

Rationalise 6/√2.

Question 9 of 10

Express 3/(2 + √3) in the form a + b√3.

Question 10 of 10

Find the value of x if 23ₓ = 13 (base ten).