7+ ✓3/7-✓3. what is the answer
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♧Question ♧
- 7+ ✓3/7-✓3. what is the answer
♧Answer♧
By conjugate multiplication method,
➠(7 + ✓3 / 7 - ✓3) × (7 + ✓3 / 7 + ✓3)
Now multiply,
➠(7 + ✓3)² / ( 7 )² - ( ✓3 )²
➠(7 + ✓3)² / 49 - 3
➠(7 + ✓3)² / 46
Now open the formula
( a + b )² = a² + 2ab + b²
➠(( 7 )² + 2( 7 )( ✓3 ) + ( ✓3 )) / 46
➠(49 + 14✓3 + 3) / 46
➠(52 + 14✓3) / 46
➠(2 ( 26 + 7✓3 )) / 46
➠(26 + 7✓3) / 23
Now calculate the approximate value.
➠1.65758 Ans
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