The expression (2√8 +3√5 -7√2) (√72 – 5√20 -2√2), reduces to :
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Answer:
42√10 - 174
Step-by-step explanation:
2√8 = 2√(4x2) = 4√2
√72 = √( 9×8) = 3 √ 4×2 =6 √2
5√20 = 5√5×4 = 10√5
(2√8 +3√5 -7√2) = 4√2 + 3√5 - 7√2
= -3√2 + 3√ 5
= 3√5 - 3√2
(√72 – 5√20 -2√2) = 6√2 - 10√5 -2√2
= 4√2 -10√5
(2√8 +3√5 -7√2) (√72 – 5√20 -2√2)
= (3√5-3√2) (4√2-10√5)
= 12√10 - 150 - 24 + 30√10
= 42√10 - 174
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above ans. correct...!
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