(i) Show that (5 + 3v2)² = 43 + 30v2. Hence find, without using a calculator, the positive square root of (ii) 86 + 60v2, giving your answer in the form a+ bv2, where a and b are integers, (iii) 43 – 30V2, giving your answer in the form c+ dV2, where c and d are integers,
(i) Show that (5 + 3v2)² = 43 + 30v2. Hence find, without using a calculator, the positive square root of (ii) 86 + 60v2, giving your answer in the form a+ bv2, where a and b are integers, (iii) 43 – 30V2, giving your answer in the form c+ dV2, where c and d are integers,
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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Question
![рарer 2
4. INDICES AND SURDS
page 17
2010 N
Q1
(i) Show that (5 + 3v2)² = 43 + 30v2.
Hence find, without using a calculator, the positive square root of
(11) 86 + 60V2, giving your answer in the form a + bv2, where a and b are integers,
(iii) 43 - 30V2, giving your answer in the form c + dV2, where c and d are integers,
1
f+gv2
where f, g and h are integers.
(iv)
43+30V2'
giving
your answer in the form](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd4c2ba2d-89d9-4ecf-959b-3e3aa7eca382%2F7de672e7-8a1d-4b8a-b4e7-79981fa58bdc%2F4o1nl0u_processed.jpeg&w=3840&q=75)
Transcribed Image Text:рарer 2
4. INDICES AND SURDS
page 17
2010 N
Q1
(i) Show that (5 + 3v2)² = 43 + 30v2.
Hence find, without using a calculator, the positive square root of
(11) 86 + 60V2, giving your answer in the form a + bv2, where a and b are integers,
(iii) 43 - 30V2, giving your answer in the form c + dV2, where c and d are integers,
1
f+gv2
where f, g and h are integers.
(iv)
43+30V2'
giving
your answer in the form
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