(?32 + ?48) / (?8 + ?12)
= (?16 x 2 + ?16 x 3) / (?4 x 2 + ?4 x 3)
= (4?2 + 4?3) / (2?2 + 2?3)
= 4(?2 + ?3) / 2(?2 + ?3 ) = 2
?176 + ?2401
= ?176 + 49
= ?225 = 15
?248 + ?(52 + ?144)
= ?248 + ?(52 + 12)
=?248 + ?64
= ?248 + 8
= ?256
= 16
74088 = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 7 x 7
= (2x2) x (3x3) x (7x7) x (2x3x7)
Least number which should be multiplied to 74088 to make it a Perfect square = 2 x 3 x 7 = 42
(.000027)1/3
= (27 / 1000000)1/3
= (33)1/3 / (106)1/3
= 3 / 100
= .03
?0.121 = ?0.1210
= ?1210/10000
= ?1210 / 100
= 34.7 / 100
= 0.347.
1/ (?3 + ?2)
= (?3 - ?2) / [ 1/ (?3 - ?2) x (?3 + ?2)]
= (?3 - ?2) / (3 - 2)
= (1.7732 - 1.414) = 0.318
=?2/3 + 3?3/2
= ?2/?3 x ?3/?3 + 3?3/?2 x ?2/ ?2
= ?6/3 + 3?6/2
= (2.55 / 3) + [(3 x 2.55) / 2]
= 2.55/3 + 7.65/2
= (5.10 + 22.95)/6
= 28.05/6
= 4.675
?2n = 64
? 2n/2 = 26
? n/2 = 6
? n = 12
Given expression = ?(121 x 9) / (11 x 11)
= ?9
= 3
?1 + 27/169 = (1 + N/13)
? ?196/169 = (1 + N/13)
? 14/13 = (1 + N/13)
? N/13 = (14/13 - 1 ) = 1/13
? N = 1
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