Express each one of the following with rational denominator
6-4√2 /6+4√2
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hope this helps you ☺☺
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namrata27:
17-12kaisa aya
4 common liye h
17×4=68 hota h n .. 12×4=48 .. wahi 4 common
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Answered by
14
Hii friend,
6-4✓2/6+4✓2
Rationalizing denominator
6-4✓2/6+4✓2 × 6-4✓2/6-4✓2
=> (6-4✓2)(6-4✓2)/ (6+4✓2)(6-4✓2)
=> (6-4✓2)²/ (6)² - (4✓2)². [ (a+b)(a-b) = a²-b²]
=> (6)² +(4✓2)² -2 × 6 × 4✓2 / 4 × 4 × ✓2 × ✓2
=> 36 + 32 - 12×4✓2/ 36 - 16 × 2
=> 36+32 - 48✓2/4
=> 68-48✓2/4
=> 4(17-12✓2)/4
=> 17-12✓2.....Ans...
HOPE IT WILL HELP YOU..... :-)
6-4✓2/6+4✓2
Rationalizing denominator
6-4✓2/6+4✓2 × 6-4✓2/6-4✓2
=> (6-4✓2)(6-4✓2)/ (6+4✓2)(6-4✓2)
=> (6-4✓2)²/ (6)² - (4✓2)². [ (a+b)(a-b) = a²-b²]
=> (6)² +(4✓2)² -2 × 6 × 4✓2 / 4 × 4 × ✓2 × ✓2
=> 36 + 32 - 12×4✓2/ 36 - 16 × 2
=> 36+32 - 48✓2/4
=> 68-48✓2/4
=> 4(17-12✓2)/4
=> 17-12✓2.....Ans...
HOPE IT WILL HELP YOU..... :-)
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