Help me with this discrete math question and explain your work please. b) Use an English proof to prove that if integers m and n are perfect squares, then m*nmust also be a perfect square. An integer a is a perfect square if there exists an integerb such that a = b2

Name: Help me with this discrete math question and explain your work please.
Uploaded: 2024-03-20T06:38:44.000Z
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Description: Help me with this discrete math question and explain your work please. b) Use an English proof to prove that if integers m and n are perfect squares, then m*nmust also be a perfect square. An integer a is a perfect square if there exists an integerb

Answered: b) Use an English proof to prove that…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Help me with this discrete math question and explain your work please.

b) Use an English proof to prove that if integers m and n are perfect squares, then m*n
must also be a perfect square. An integer a is a perfect square if there exists an integer
b such that a = b2

Expert Solution

Step 1

Consider the provided question,

Given, m and n are both perfect square.

We need to prove m*n is also a perfect square.

Proof:

As m and n are perfect square.

Therefore,

$m = a^{2} n = b^{2}$

For square integers a and b, by definition of a square.

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