Roots 1. Which of the following can be perfect equere? (1) A number ending in 3 or 7 (i) A number ending with odd number of wo (iii) A number ending with even number of zeros v) A number ending in 2 2. Which of the following can be the square of a natural number ? () sum of the squares of first n natural murbors 01) sum of the first n natural numbers (1) sum of first (n-1) natural nurbars v) sum of first odd natural rumors 3. Which of the following is the number hon perfect square numbers between the square of the numbers and +17 (1) 2 (v) 2n-1 4. Which of the following is the difference between the squares of two consecutive natural number in () sum of the two numbers (i) difference of the numbers (1) twice the surs of the two numbers Ov) twice the differenos between the two numbers 5. Which of the following is the number of non-perfect square number hetween 172 and 1827 () 613 (1) 35 (1) 34 6. Which of the following is the difference between the squares of 21 and 22? (1) 21 (1) 22 (1) 42 7. Which of the following is the number of zerou in the square of 900 (1) 5 XIlth Account Express Course Enroll Now STUDY MATERIAL FOR COSE CLASS MATH Chapter 1- Algebraic Expressions and Identities Chapter 2-Comparing Quantities Chapter 3-Cubes and Cube Roots Chapter 4-Dats handling Chapter 5 Direct and inverse. Proportions Chapter e-Exponents and (iv) 70 (iv) 43 (iv) 2 8. If a number of r-digits is a perfect square and 'n' is an even nurber, then which of the following is the number of digits of its aquare root? (iv) 2n
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The square of 21 is 441. & the square of 22 is 484.
Squares and Square Roots. The difference between the squares of two consecutive natural numbers is equal to the sum of the two numbers.Therefore, non perfect square numbers between 21 and 22= 2n= 2× 21 = 42. So, the non-perfect square number between 21 and 22 is 42
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