rationalise the denominator and simplify.
2√3-√5/2√3+3√3
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Heya !!!
2✓3 - ✓5 / 2✓3 + 3✓3
=> ( 2✓3 - ✓5 ) / ( 2✓3 + 3✓3 ) × ( 2✓3 - 3✓3/(2✓3-3✓3)
=> ( 2✓3 - ✓5 ) ( 2✓3 - 3✓3 ) / ( 2✓3 + 3✓3 ) ( 2✓3 - 3✓3 )
=> 2✓3 ( 2✓3 - 3✓3 ) - ✓5 ( 2✓3 - 3✓3 ) / ( 2✓3)² - (3✓3)²
=> 12 - 18 - 2✓15 + 3✓15 / 12 - 27
=> -6 + ✓15 / -15 [ Answer ]
★ HOPE IT WILL HELP YOU ★
2✓3 - ✓5 / 2✓3 + 3✓3
=> ( 2✓3 - ✓5 ) / ( 2✓3 + 3✓3 ) × ( 2✓3 - 3✓3/(2✓3-3✓3)
=> ( 2✓3 - ✓5 ) ( 2✓3 - 3✓3 ) / ( 2✓3 + 3✓3 ) ( 2✓3 - 3✓3 )
=> 2✓3 ( 2✓3 - 3✓3 ) - ✓5 ( 2✓3 - 3✓3 ) / ( 2✓3)² - (3✓3)²
=> 12 - 18 - 2✓15 + 3✓15 / 12 - 27
=> -6 + ✓15 / -15 [ Answer ]
★ HOPE IT WILL HELP YOU ★
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Answered by
5
2✓3 - ✓5 / 2✓3 + 3✓3
( 2✓3 - ✓5 ) / ( 2✓3 + 3✓3 ) × ( 2✓3 - 3✓3/(2✓3-3✓3)
( 2✓3 - ✓5 ) ( 2✓3 - 3✓3 ) / ( 2✓3 + 3✓3 ) ( 2✓3 - 3✓3 )
2✓3 ( 2✓3 - 3✓3 ) - ✓5 ( 2✓3 - 3✓3 ) / ( 2✓3)² - (3✓3)²
12 - 18 - 2✓15 + 3✓15 / 12 - 27
-6 + ✓15 / -15
thanks
mark me as brainliest :-)
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