Question

1. Q. 3. You ar told that 1,331 is a perfect
cube. Can you guess without factorisation
what is its cube root? Similarly, guess the
cube roots of 4913, 12167, 32768)​

Answer 1

Step-by-step explanation:

1331 first make 2 groups..

1 is one group and 331 is second group...

take 2nd group i.e = 331

Its unit digit is 1

so we have to find a no. whose cube end with 1

and the no. is 1

now.. take 1st group i.e = 1

Its unit digit is 1

so we notice that 1³ = 1 and 2³ = 8 but the no. is 1

1<1<8

so we took smaller no. and put 1 in tens place

so the no. is 11...

similarly..

4913

4 is first group and 913 is second group

take 2nd group i.e = 913..

its unit digit is 3

so we have to find a no. whose cube end with 3

and the no. is 7 (7³=343)

now.. take 1st group i.e = 4

so we notice that 1³ =1 and 2³ = 8 but the no. is 4

1<4<8

so we took smaller no. i.e 1 and put it in tens place

so the no. is 17...

12167

12 is the first group and 167 is second

we took 2nd group i.e 167

its unit digit is 7

so we have to find a no. whose cube end with 7

3³ = 27 so 3 is unit digit

now.. we took 1st group

its unit digit is 2

we notice that 2³ =8 and 3³ = 27 but the no. is 12

8< 12< 27

so we took smaller no. i.e 2

so the no. is 23

32768

32 is first group and 768 is second

we took second group

its unit digit is 8

so we have to find a no. whose cube end with 8

2³ = 8. so unit digit is 2

now... we took first group i.e 32

its unit digit is 2

so we notice that 3³ =27 and 4³ = 64 but the no. is 32

27 < 32<64

so we took smaller no. i.e = 3

so the no. is 32...

thank you

hope it helps ❤️❤️

plz mark it as brainliest

Answer 2

Answer:

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