Classify the following numbers as Rational or Irrational: , 722​, π, 5.131131113..., 12​, 0.35˙

Without dividing, determine whether the decimal representation of 4011​ is terminating or recurring. Explain your reasoning.

Express the recurring decimal 2.45˙ concisely using dot notation and convert the fraction 225​ into its decimal form.

Express the entire surd 108​ in its simplest surd form, ab​.

Convert the surd 73​ into an entire surd.

Simplify: 57​−228​+63​

Simplify: 35​×215​

Simplify: 1248​÷43​

Rationalize the denominator of 53​12​.

Simplify completely: 52​(8​−18​)

Simplify completely: 350​​−8​+2​10​

Find the value of x if x2​=18​+32​.

The sides of a rectangle are 32​ cm and 52​ cm. Calculate its area and the length of its diagonal in simplest surd form.

Explain the relationship between the sets of Natural Numbers (N), Integers (Z), Rational Numbers (Q), and Real Numbers (R) using a Venn diagram.

A square has a side length of 5​ cm. Another square has an area double that of the first square. Find the side length of the second square.