List questions from square-numbers

Published on 28 Mar 2015 - 10:39

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How to explain to a 14-year-old that $\sqrt{(-3)^2}$ isn't $-3$?

Published on 28 Mar 2015 - 17:40

148

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Multiplying two expressions containing perfect squares to get another perfect square

Published on 29 Mar 2015 - 12:56

186

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Find $p,q$ s.t. $2q^2-p^2=\Box$ and $2p^2-q^2=\Box$

Published on 29 Mar 2015 - 19:07

800

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Suppose that $n \in \mathbb{Z}$. Prove that if $n^2 + 1$ is a perfect square, then $n$ is even.

Published on 30 Mar 2015 - 4:20

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Show that the sum of the first $n$ natural numbers is a perfect square for infinitely many $n$.

Published on 02 Apr 2015 - 2:03

1k

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How to check if $2$ is a square $\mod 3$?

Published on 28 Mar 2026 - 4:01

79

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Prove about prime numbers obtained from certain sums of squares of an integer $n$

Published on 03 Apr 2015 - 6:08

265

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calculate the intersection of two number series

Published on 04 Apr 2015 - 4:24

209

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Evaluation of infinite square roots

Published on 05 Apr 2015 - 12:00

87

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$A$ is a sum of two postive integer squares?

Published on 08 Apr 2015 - 11:05

43

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Squareclasses in transcendental extensions of the p-adics

Published on 08 Apr 2015 - 23:06

310

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The diophantine equation $z^2=a^2+bx^2+cy^2$

Published on 09 Apr 2015 - 13:40

86

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Define the concept of square root (mod n)

Published on 10 Apr 2015 - 0:54

2.4k

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What is the next perfect square of the form 14444... in decimal notation?

Published on 12 Apr 2015 - 6:31

List Question

How to find all positive integers $m,n$ such that $3^m+4^n$ is a perfect square?

How to explain to a 14-year-old that $\sqrt{(-3)^2}$ isn't $-3$?

Multiplying two expressions containing perfect squares to get another perfect square

Find $p,q$ s.t. $2q^2-p^2=\Box$ and $2p^2-q^2=\Box$

Suppose that $n \in \mathbb{Z}$. Prove that if $n^2 + 1$ is a perfect square, then $n$ is even.

Show that the sum of the first $n$ natural numbers is a perfect square for infinitely many $n$.

How to check if $2$ is a square $\mod 3$?

Prove about prime numbers obtained from certain sums of squares of an integer $n$

calculate the intersection of two number series

Evaluation of infinite square roots

$A$ is a sum of two postive integer squares?

Squareclasses in transcendental extensions of the p-adics

The diophantine equation $z^2=a^2+bx^2+cy^2$

Define the concept of square root (mod n)

What is the next perfect square of the form 14444... in decimal notation?

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