Math, asked by angelamariamge, 7 days ago

Cn u pls help me pls i need help Thanks

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Answered by poojaluv25
1

Answer:

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Step-by-step explanation:

we have 7 √ 3 √ 10 + √ 3 − 2 √ 5 √ 6 + √ 5 − 3 √ 2 √ 15 + 3 √ 2 7310+3-256+5-3215+32 now 7 √ 3 √ 10 + √ 3 × √ 10 − √ 3 √ 10 − √ 3 = 7 √ 30 − 21 ( √ 10 ) 2 − ( √ 3 ) 2 7310+3×10-310-3=730-21(10)2-(3)2 [ using identity , ( a − b ) ( a + b ) = a 2 − b 2 ] (a-b)(a+b)=a2-b2] 7 √ 30 − 21 10 − 3 = 7 √ 30 − 3 7 = √ 30 − 3 730-2110-3=730-37=30-3 2 √ 5 √ 6 + √ 5 = 2 √ 5 ( √ 5 + √ 5 ) × ( √ 6 − √ 5 ) ( √ 6 − √ 5 ) 256+5=25(5+5)×(6-5)(6-5) [by rationslisation ] 2 √ 30 − 10 ( √ 6 ) 2 − ( √ 5 ) 2 [ using identity , ( a − b ) ( a + b ) = a 2 − b 2 ] 230-10(6)2-(5)2 [using identity,(a-b)(a+b)=a2-b2] 2 √ 30 − 10 6 − 5 = 2 √ 30 − 10 230-106-5=230-10 3 √ 2 √ 15 + 3 √ 2 = 3 √ 2 √ 15 + 3 √ 2 × √ 15 − 3 √ 2 √ 15 − 3 √ 2 [ by rationalisation ] 3215+32=3215+32×15-3215-32 [by rationalisation] 3 √ 30 − 18 ( √ 15 ) 2 − ( 3 √ 2 ) 2 [ using identity , ( a − b ) ( a + b ) = a 2 − b 2 ] 330-18(15)2-(32)2 [using identity,(a-b)(a+b)=a2-b2] 3 ( √ 30 − 6 ) 15 − 18 = 3 ( √ 30 − 6 ) − 3 = ( − √ 30 + 6 ) 3(30-6)15-18=3(30-6)-3=(-30+6) 6 − √ 30 6-30 from Eq. (i) 7 √ 3 √ 10 + √ 3 − 2 √ 5 √ 6 + √ 5 − 3 √ 2 √ 15 + 3 √ 2 7310+3-256+5-3215+32 = ( √ 30 − 3 ) − ( 2 √ 30 − 10 ) − ( 6 − √ 30 ) =(30-3)-(230-10)-(6-30) √ 30 − 3 − 2 √ 30 + 10 − 6 + √ 30 30-3-230+10-6+30 2 √ 30 − 2 √ 30 + 10 − 9 = 1

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