SOLUTION: Find a + b given that the five-digit integer 3ab16 is a perfect square.

Algebra.Com
Question 248152: Find a + b given that the five-digit integer 3ab16 is a perfect square.
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Find a + b given that the five-digit integer 3ab16 is a perfect square.
Find the range of the square root of the number
= 176.6...
= 197.2...
:
Between these two numbers. Last digit of the square root has to be 4 or 6
:
Square the following numbers; 184^2, 186^2, 194^2, 196^2 = 38416 is the winner!
:
a=8; b=4; a + b = 12

RELATED QUESTIONS

Find the smallest positive integer n such that 2n is a perfect square, 3n is a perfect... (answered by mszlmb,Prithwis,lyra,amit5562)
A five-digit perfect square in the form of 4a bc9 has a thousand digit a, hundred digit... (answered by ewatrrr)
Find the largest three digit number such that the number minus the sum of its digit is a... (answered by Edwin McCravy)
a five-digit perfect square in the form of 5abc6 has a thousands digit a, hundreds digit... (answered by khwang)
The five-digit numbers 8a2bc and 3a8bc are both perfect squares. What is the product of a (answered by greenestamps)
a) express 2430 in prime factors [solved] Answer: 2x3^5x5 b) HENCE, find the smallest... (answered by scott8148)
Given that 2x + 2 ≤ 33, find the largest value of x if: a. x is an integer b. x... (answered by ikleyn,math_tutor2020)
find the smallest integer of k such that 2520k is a perfect square. (can you... (answered by robertb)