Simplification

medium importance~2 Q in Tier 126 formulas⚡ 14 shortcuts5 subtopics

Exam-level questions worked step by step. Try each one yourself first — then expand the solution and compare routes.

Q1.

Simplify: $1 + \cfrac{1}{1 + \cfrac{1}{1 + \frac{1}{2}}}$

Q2.

The value of $\sqrt{7 + 4\sqrt{3}} + \sqrt{7 - 4\sqrt{3}}$ is:

Q3.

What is the least number that must be subtracted from 7250 to make it a perfect square?

Q4.

Simplify: $\frac{0.73 \times 0.73 \times 0.73 + 0.27 \times 0.27 \times 0.27}{0.73 \times 0.73 - 0.73 \times 0.27 + 0.27 \times 0.27}$

Q5.

What is the approximate value of $\sqrt{1225.2} \times 3.98 + 19.97\% \text{ of } 450$ ?