Perfect Squares

Consider the 100 integers from 1 to 100 (inclusive). How many of them are perfect squares?


The answer is 10.

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19 solutions

Giuseppe Zecchini
Dec 27, 2013

1 n 2 100 1 n 10 1 \le n^2 \le 100 \Rightarrow 1 \le n \le 10 , so they are 10.

so gud

veena tanguturi - 7 years, 3 months ago

superb

Yasir Shazad - 7 years, 5 months ago
Lim Zi Heng
Dec 25, 2013

1 2 = 1 1^2 =1

2 2 = 4 2^2=4

3 2 = 9 3^2=9

4 2 = 16 4^2=16

5 2 = 25 5^2=25

6 2 = 36 6^2=36

7 2 = 49 7^2=49

8 2 = 64 8^2=64

9 2 = 81 9^2=81

1 0 2 = 100 10^2=100

Since the question had stated that 1 x 100 1 \leq x \leq 100

and 1 0 2 = 100 10^2 =100

So that is 10 10 perfect squares from 1 to 100

ahhhh

Jaypee Ambis - 7 years, 5 months ago

Just I have done it.

Mohammad Chhiddikur Rahman - 7 years, 4 months ago

i too had done this like that

veena tanguturi - 7 years, 3 months ago
Sunil Pradhan
Jan 7, 2014

Last number is 100 and √100 = 10

so total square numbers are 100/10 = 10

you need not write all square numbers and count still 1, 4, 9, 16, 25, 36, 49, 64, 81, 100 total 10

as last number is 100 you can write But if last numbers is 10000 then instead of counting find √10000 = 100

so total square numbers are 10000/100 = 100

squares of 1,2,3,4,5,6,7,8,9,and 10

Earvinj Alancado
Apr 18, 2014

1^2,2^2,3^2,4^2,5^2,6^2,7^2,8^2,9^2 and 10^2 all in all we got 10

Henrique Ribeiro
Apr 17, 2014

1, 4, 9, 16, 25, 36, 49, 64, 81 and 100 are perfect squares.

Towkir Hossain
Mar 25, 2014

There are only 10 perfect square numbers in the first 100 integers. 1, 4, 9, 16, 25, 36, 49, 64, 81 and 100. Easy

Abhinav Ankur
Mar 22, 2014

There are 10 perfect square integers between 1 and 100 (inclusive of 1 and 100)

10^2 =100

Mohammad Fiyaz
Jan 22, 2014

10 (you can simply check the perfect square by multiplying the integers itself starting from 1 until the multiplication of integers itself crosses the integer 100. This is because we have to find perfect square between 1 to 100. )

1x1=1 2x2=4 3x3=9 4x4=16 5x5=25 6x6=36 7x7=49 8x8=64 9x9=81 10x10=100 only 10 integers are perfect square between 1 to 100.

PavanKumar Gurram
Jan 16, 2014

count=0 for x in range(1,100): if(x**2<=100): count+=1 print(count)

Nitin Arora
Jan 6, 2014

100 is ten squared so it seems probable that there are 9 others...

you forgot 1 the first square number.

Sunil Pradhan - 7 years, 5 months ago
Kent Negosa
Jan 4, 2014

1^2 = 1 2^2 = 4 3^2 =9 4^2 = 16 5^2 = 25 6^2 = 36 7^2 = 49 8^2 = 64 9^2 = 81 10^2 = 100

Aashi Jain
Jan 3, 2014

1 1=1 2 2=4 3 3=9..........TILL 9 9=81 10*10=100 So,total number are 10

Ahmad Awalluddin
Dec 30, 2013

we know that square of 10 we got 100 so there are 10 pwrfect square between 1to 100

Mang Kepweng
Dec 28, 2013

First you need to be an idiot.

sorry for this guys, i don't know to my cousin why he wrote this

MANG KEPWENG - 7 years, 5 months ago

ignore this. :DD

MANG KEPWENG - 7 years, 5 months ago
Prasun Biswas
Dec 27, 2013

Since 100 = 1 0 2 100=10^{2} and 1 = 1 2 1=1^{2} , so there lies the squares of 2 to 9 between 1 and 100. Since 1 and 100 are included here and also both 1 and 100 are perfect squares, there are 10 perfect squares in the given range.

Sonu Sekar
Dec 26, 2013

the given statement is 100 integers

solution:

1^2,2^2,3^2,4^2,5^2,6^2,7^2,8^2,9^2,10^2

totally we have 10 of them are perfect squares

Noor Kamran
Dec 26, 2013

10 values are perfect squares That is 1,4,9,16,25,36,49,64,81,100

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