Find the Rationalising factor of (√3+√10-√5).
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Answer:
Since ( 3+10 − 5 )( 3 + 10 + 5 ) =( 3 + 10 ) 2 −(5 ) 2=3+10+2 310 −5=8+2 30
and , (8+2 30 )(8−2 30 )=8 2−(2 30) 2=64−4×30=−56
Therefore,
( 3 +10 − 5 )( 3 + 10 + 5 )(8−2 30 ) =−56 which is a rational number
Hence, ( 3+ 10+5 )(8−2 30 ) is a rationalizing factor of ( 3 + 10 − 5 )
Step-by-step explanation:
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