__Square and Square root__

__Square and Square root__

**Exercise 3 (A)**

**1.Find the square of the following numbers :**

**(i) 15**

**(ii) 48**

**(iii) \( \dfrac{6}{7} \)**

**(iv) \( \dfrac{21}{25} \)**

**(v) \( 6\dfrac{3}{8} \)**

**(vi) 0.9**

**(vii) 1.1**

**(viii) 0.018**

**2.Determine whether square of the following numbers will be even or odd.(Do not find the square)**

**(i) 529**

**(ii) 30976**

**(iii) 893025**

**(iv) 6990736**

**3.Just by looking at the following numbers, give reason why they are not perfect squares.**

**(i) 4893**

**(ii) 65000**

**(iii) 4422**

**(iv) 89138**

**(v) 150087**

**4.Using prime factorization method, find which of the following are perfect square numbers.**

**(i) 100**

**(ii) 284**

**(iii) 784**

**(iv) 1444**

**(v) 768**

**(vi) 4225**

**(vii) 3375**

**(viii) 15625**

**5.Using prime factorization method, find the square root of the following numbers.**

**(i) 256**

**(ii) 1936**

**(iii) 3364**

**(iv) 5625**

**(v) 7744**

**(vi) 12544**

**6.Find the square root of the following fractions.**

**(i) \( \dfrac{529}{1225} \)**

**(ii) \( \dfrac{1444}{3249} \)**

**(iii) \( 1\dfrac{396}{9604} \)**

**(iv) 0.01**

**(v) 0.1764**

**(vi) 0.00003136**

**7.Simplyfy:**

**(i) \( \sqrt{10^2-{6^2}} \)**

**(ii) \( \Bigg(-\sqrt{\dfrac{9}{16}}\Bigg)\Bigg(\sqrt{\dfrac{64}{81}}\Bigg) \)**

**(iii) \( \sqrt{\dfrac{16}{36}-\dfrac{1}{4}} \)**

**8.Find the square root of 1024. Hence find the value of \( \sqrt{10.24} + \sqrt{0.1024}+\sqrt{10240000} \).**

**9.Find the smallest number by which each of the given number s ,ust be multiplied so that the product is a perfect square. Also find the square root of this new number.**

**(i) 175**

**(ii) 325**

**(iii) 720**

**(iv) 3150**

**10.Find the smallest number by which each of the given numbers must be divided so that the quotient is a perfect square.Also find the square root of this quotient.**

**(i) 2700**

**(ii) 5488**

**(iii) 7203**

**(iv) 20886**

**11.Find the smallest number which is completely divisible by each of the numbers 10 , 16 and 24.**

**12.The children of class VIII of a school contributed ₹ 3025 for the Prime Minister’s National Relief Fund, contributing as much money as there are children in the class.How many children are there in the class ?**

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