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Answer:
1. 1 hours and 30 minute after they meet
Step-by-step explanation:
step by step in image show that
1) take LCM for 15 and 18
we get 90
convert 90 min in hours
90÷60=1.30
therefore they meet each other after 1 hour 30 min
2) (a) 140=2×2×5×3×3
(b) 156=2×2×3×13
(c) 3825= 2×5×11×11×139
(d) 5005=5×7×13×11
(e) 7429=17×19×23
3) 2√45+3√20/2√5
2√3×3×5+3√5×2×2/2√5
2×3√5+3×2√5/2√5
6√5+6√5/2√5
12√5/2√5
6
hence 6 is a rational number
4) don't know
5) take the HCF of 8100
then we get 2^2×3^4×5^2
so, x=4 , y=2 , z= 2
xyz = 16
6) 51/375
it will terminate after 3 decimal places
7) since 12576>4052 we apply the division lemma to 12576 and 4052 to get
12576=4052×3+420
since the remainder 420≠0 we apply division lemma to 4052 and 420 to get
4052=420×9+272
since the remainder 272≠0 we apply division lemma to 420 and 272 to get
420=272×1+148
since the remainder 148≠0 we apply division lemma to 272 and 148 to get
272=148×1+124
since the remainder 124≠0 we apply division lemma to 148 and 124 to get
148=124×1+24
since the remainder 24≠0 we apply division lemma to 124 and 24 to get
124=24×5+4
since the remainder 4≠0 we apply division lemma to 24 and 4 to get
24=4×6+0
therefore HCF of 12576 and 4025 is 4
8) we need 6 stacks to arrange 566 books and 1 book is left
9) let us 3+2√5 as rational number
3+2√5=a/b
2+√5=a/b-3
2+√5=a-3b/b
√5=a-3b/2b
here a and b are integer so a-3b/2b is rational number
so, √5 should be rational number
√5 is irrational number by contradiction method
hence 3+2√5 is irrational number
10) 0.4871/1
multiple numerator and denominator by 10000
0.4871×10000/1×10000
4871/10000
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