how how you simplified the root of 40 and 32.

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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Show how you simplified the root of 40 and 32. The problem is already solved. Example attached.
(-4-3√5)(6+8√8)= -24-64√2-18√5-48√10
4
6 -24
8√8
-64√2
3√5
1855
48√10
Transcribed Image Text:(-4-3√5)(6+8√8)= -24-64√2-18√5-48√10 4 6 -24 8√8 -64√2 3√5 1855 48√10
Express in simplest radical form and combine like terms/radicals.
* Conjugates *
(4-√6)(4+ √6)
4
4 16
46 4√6
4.4-√6.56
16-6
lo
-√6
-4√6
-√36
16-√36
16-6=10
Transcribed Image Text:Express in simplest radical form and combine like terms/radicals. * Conjugates * (4-√6)(4+ √6) 4 4 16 46 4√6 4.4-√6.56 16-6 lo -√6 -4√6 -√36 16-√36 16-6=10
Expert Solution
Step 1

The given expression is -4-356+88=-24-642-185-4810.

The process of multiplication is also shown.

The aim is to clarify the calculation of square roots that are obtained after multiplication.

A square root can be simplified with the help of the prime factorization method.

Prime factorization is defined as the way of expressing a number as the product of the prime numbers.

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