Difference between revisions of "2024 AMC 10B Problems/Problem 13"
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| + | ==Problem== | ||
| + | Positive integers <math>x</math> and <math>y</math> satisfy the equation <math>\sqrtx + \sqrty = \sqrt{1183}</math>. What is the minimum possible value of <math>x+y</math>. | ||
| + | <math>\textbf{(A) } 585 \qquad\textbf{(B) } 595 \qquad\textbf{(C) } 623 \qquad\textbf{(D) } 700 \qquad\textbf{(E) } 791</math> | ||
| + | |||
| + | ==Solution 1== | ||
| + | (Not yet conclusive plz add more stuff) | ||
| + | <math>\sqrt{1183} = 13 \sqrt7 = 6\sqrt7 + 7\sqrt7 = \sqrt{252} + \sqrt{343}</math>. <math>252 + 343 = \boxed{\textbf{(B) }595}</math> | ||
| + | |||
| + | ==See also== | ||
| + | {{AMC10 box|year=2024|ab=B|num-b=12|num-a=14}} | ||
| + | {{MAA Notice}} | ||
Revision as of 01:02, 14 November 2024
Problem
Positive integers 
and 
satisfy the equation $\sqrtx + \sqrty = \sqrt{1183}$ (Error compiling LaTeX. Unknown error_msg). What is the minimum possible value of 
.
Solution 1
(Not yet conclusive plz add more stuff)
. 
See also
| 2024 AMC 10B (Problems • Answer Key • Resources) | ||
| Preceded by Problem 12 |
Followed by Problem 14 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AMC 10 Problems and Solutions | ||
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