Math, asked by gppreetha70, 6 months ago

How many numbers lies between the square of 34 and 35. I want step by step answer not direct answer. who will answer this question I will make them as brainlist answer ​

Answers

Answered by Anonymous
6

Solution:-

Given that we have to find how many numbers lie between the square of 34 and 35 .

So , firstly

  • Square of 34 is 34² = 1156.
  • Square of 35 is 35² = 1225.

So , difference of their squares

➳ 35² - 34².

➳ ( 35 + 34 ) ( 35 - 34 ). [using a²-b² =(a+b)(a-b)]

➳ 69.

Hence there are 69 numbers between square of 34 and 35 .

More to know :-

  • a² + b² = ( a + b )² - 2ab
  • a² - b² = ( a + b )( a - b )
  • ( a + b )² = a² + b² + 2ab.
  • ( a - b )² = a² + b² - 2ab
  • ( a + b )³ = a³ + b³ + 3ab(a + b)
  • ( a - b )³ = a³ - b³ - 3ab ( a - b )
  • a³ + b³ = ( a + b )( a² -ab + b²)
  • a³ + b³ = ( a - b )( a² +ab + b²)

Answered by Swarup1998
1

To find:

How many numbers lies between the square of 34 and 35?

Step-by-step explanation:

  • In order to find the number of numbers lying between the square of 34 and the square of 35, we simply find the difference of the numbers.

  1. Here, the square of 34 = 1156
  2. and the square of 35 = 1225

  • Thus the difference of the numbers given
  • = the square of 35 - the square of 34
  • = 1225 - 1156
  • = 69

Final Answer:

There are 69 numbers between the square of 34 and the square of 35.

EXTRA:

A few examples of the numbers lying between the square of 34 and the square of 35 are

1157, 1158, 1159, 1160, 1161, 1162, 1163, ... ..., 1220, 1221, 1222, 1223 and 1224.

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