6 minus 4 root 3 upon 6 + 4 root 3
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Answered by
7
Hii friend,
6-4✓3/6+4✓3
=> 6-4✓3/6+4✓3 × 6-4✓3/6-4✓3
=> (6-4✓3)(6-4✓3)/(6+4✓3)(6-4✓3)
=> (6-4✓3)²/(6)² - (4✓3)²
=> (6)² +(4✓3)² - 2 × 6 × 4✓3/36- 48
=> 36 + 48 - 12 × 4✓3/-12
=> 84 - 48✓3/-12
=> 4(21-12✓3)/-12
=> 21-12✓3/-3
=> 21-12/-✓3
=> 21-12/-✓3 × ✓3/✓3
=> 21✓3-12✓3/-3
=> 9✓3/-3 = 3✓3/-1....
HOPE IT WILL HELP YOU.... :-)
6-4✓3/6+4✓3
=> 6-4✓3/6+4✓3 × 6-4✓3/6-4✓3
=> (6-4✓3)(6-4✓3)/(6+4✓3)(6-4✓3)
=> (6-4✓3)²/(6)² - (4✓3)²
=> (6)² +(4✓3)² - 2 × 6 × 4✓3/36- 48
=> 36 + 48 - 12 × 4✓3/-12
=> 84 - 48✓3/-12
=> 4(21-12✓3)/-12
=> 21-12✓3/-3
=> 21-12/-✓3
=> 21-12/-✓3 × ✓3/✓3
=> 21✓3-12✓3/-3
=> 9✓3/-3 = 3✓3/-1....
HOPE IT WILL HELP YOU.... :-)
Answered by
1
Heya ✋
Let see your answer !!!
(6 - 4√3)/(6 + 4√3)
By rationalization
(6 - 4√3) × (6 - 4√3)/(6 + 4√3) × (6 - 4√3)
= (6 - 4√3)^2/(6)^2 - (4√3)^2
= (6)^2 - 2 × 6 × 4√3 + (4√3)^2/36 - 48)
= 36 - 48√3 + 48/-12
= 84 - 48√3/-12
= 84/-12 - 48√3/-12
= - 7 + 4√3
Thanks :))))
Let see your answer !!!
(6 - 4√3)/(6 + 4√3)
By rationalization
(6 - 4√3) × (6 - 4√3)/(6 + 4√3) × (6 - 4√3)
= (6 - 4√3)^2/(6)^2 - (4√3)^2
= (6)^2 - 2 × 6 × 4√3 + (4√3)^2/36 - 48)
= 36 - 48√3 + 48/-12
= 84 - 48√3/-12
= 84/-12 - 48√3/-12
= - 7 + 4√3
Thanks :))))
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