All the Real Indians Died Off: And 20 Other Myths About Native Americans (Myths Made in America)

All the Real Indians Died Off: And 20 Other Myths About Native Americans (Myths Made in America)

Matematika
[tex]tolong \: dibantu \: [/tex]
Jangan Asal-asalan YA#
from
Xmath01#​


[tex]tolong \: dibantu \: [/tex]
Jangan Asal-asalan YA#
from
Xmath01#​

بِسْـــــمِ اللَّهِ الرَّحْمٰنِ الرَّحِيْمِ

Nomor 3a

(√2 - √3) (√6 - √2)

= (√2 . √6) + (√2 . -√2) + (-√3 . √6) + (-√3 . -√2)

= √12 + (-2) + (-√18) + √6

= √(4 . 3) - 2 - √(9 . 2) + √6

= 2√3 - 2 - 3√2 + √6

Nomor 3b

(√3 - √2) (√2 + √3)

= (√3 . √2) + (√3 . √3) + (√2 . -√2) + (-√2 . √3)

= √6 + 3 + (-2) + (-√6)

= √6 - √6 + 3 - 2

= 0 + 1

= 1

Nomor 3c

(√11 + √3)(√22 - √6)

= (√11 . √22) + (√11 . -√6) + (√3 . √22) + (√3 . -√6)

= √242 + (-√66) + √66 + (-√18)

= √(121 . 2) + 0 - √(9 . 2)

= 11√2 - 3√2

= (11 - 3)√2

= 82

Nomor 3d

(√6 + √3) (√6 - √3)

= (√6 . √6) + (√6 . -√3) + (√3 . √6) + (√3 . -√3)

= 6 + (-√18) + √18 + (-3)

= 6 + 0 - 3

= 6 - 3

= 3

Nomor 3e

(2√3 - 2)(3√2 + 3)

= (2√3 . 3√2) + (2√3 . 3) + (-2 . 3√2) + (-2 . 3)

= 6√6 + 6√3 + (-6√3) + (-6)

= 6√6 + 0 - 6

= 66 - 6

Nomor 3f

(3√5 + 2√2) (2√3 - 4√2)

= (3√5 . 2√3) + (3√5 . -4√2) + (2√2 . 2√3) + (2√2 . -4√2)

= 6√15 + (-12√10) + 4√6 + (-8 . 2)

= 6√15 - 12√10 + 4√6 - 16

Nomor 3g

(√5 + √3)²

= (√5 + √3) (√5 + √3)

= (√5 . √5) + (√5 . √3) + (√3 . √5) + (√3 . √3)

= 5 + √15 + √15 + 3

= 5 + 3 + (1 + 1)√15

= 8 + 215

Nomor 3h

(2√7 - 3√2)²

= (2√7 - 3√2) (2√7 - 3√2)

= (2√7 . 2√7) + (2√7 . -3√2) + (-3√2 . 2√7) + (-3√2 . -3√2)

= (4 . 7) + (-6√14) + (-6√14) + (3 . 2)

= 28 + (-6 + (-6))√14 + 6

= 28 + 6 - 12√14

= 34 - 1214

Nomor 3i

(4√3 + 2√7)²

= (4√3 + 2√7)(4√3 + 2√7)

= (4√3 . 4√3) + (4√3 . 2√7) + (2√7 . 4√3) + (2√7 . 2√7)

= (16 . 3) + 8√21 + 8√21 + (2 . 7)

= 48 + (8 + 8)√21 + 14

= 48 + 14 + 16√21

= 62 + 1621

وَاللَّه عَالَمُ بِاالصَّوَافَ

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