Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

1998 CEMC Pascal Problems/Problem 4

Revision as of 16:59, 22 June 2025 by Anabel.disher (talk | contribs) (Created page with "==Problem== The value of <math>(\sqrt{169} - \sqrt{25})^2</math> is <math> \text{ (A) }\ 64 \qquad\text{ (B) }\ 8 \qquad\text{ (C) }\ 16 \qquad\text{ (D) }\ 144 \qquad\text{...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

The value of $(\sqrt{169} - \sqrt{25})^2$ is

$\text{ (A) }\ 64 \qquad\text{ (B) }\ 8 \qquad\text{ (C) }\ 16 \qquad\text{ (D) }\ 144 \qquad\text{ (E) }\ 12$

Solution

We can simply evaluate the square roots to figure out the value of the expression:

$(\sqrt{169} - \sqrt{25})^2 = (13 - 5)^2 = 8^2 = 64$

~anabel.disher

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=1998_CEMC_Pascal_Problems/Problem_4&oldid=251863"