CEMC Pascal

Algebra Difficulty 1.3 Junior Find the answer

Simplify the expression $(\sqrt{100}+\sqrt{9}) \times(\sqrt{100}-\sqrt{9})$ .

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

Simplifying, $(\sqrt{100}+\sqrt{9}) \times(\sqrt{100}-\sqrt{9})=(10+3) \times(10-3)=13 \times 7=91$ .

Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: Omni-MATH, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project.