find the value of x and y if root 2 upon 3 root 6 - root 5 = x root 3 - y root 10
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Step-by-step explanation:
√2 / ( 3√6 - √5 ) = x√3 - ʏ√10
√2 / ( 3√6 - √5 ) × ( 3√6 + √5 ) / ( 3√6 + √5 ) = x√3 - ʏ√10
√2 ( 3√6 - √5 ) / (3√6)² - √5²
( 3√12 - √10 ) / ( 9*6 - 5 )
( 3*2√3 - √10 ) / ( 54 - 5 )
( 6√3 - √10 ) / 49 = x√3 - ʏ√10
ʜᴇɴᴄᴇ, x = 6 / 49 ᴀɴᴅ ʏ = 1 / 49
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