Math, asked by sumi60749, 1 month ago

7+ ✓3/7-✓3. what is the answer​

Answers

Answered by ItzMarvels
2

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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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