# NCERT Solutions For Class 8 Maths Chapter 6 Squares and Square Roots Ex 6.4

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Textbook | NCERT |

Board | CBSE |

Category | NCERT Solutions |

Class | Class 8 |

Subject | Maths |

Chapter | Chapter 6 |

Exercise | Class 8 Chapter 6 Squares and Square Roots Exercise 6.4 |

Number of Questions Solved | 9 |

## NCERT Solutions for Class 8 Maths Chapter 6 Squares and Square Roots Ex 6.4

**NCERT TEXTBOOK EXERCISES**

**Question 1. Find the square root of each of the following numbers by Division method:**

**Solution.**

**(i) 2304**

**(ii) 4489**

**(iii) 3481**

**(iv) 529**

**(v) 3249**

**(vi) 1369****(vii) 5776**

**(viii) 7921**

**(ix) 576**

**(x) 1024**

**(xi) 3136**

**(xii) 900**

**Question 2. Find the number of digits in the square root of each of the following numbers (without any calculation):**

**(i)** 64**(ii)** 144**(iii)** 4489**(iv)** 27225**(v)** 390625.

**Solution.**

**(i) 64**

Number (n) of digits in 64 = 2 which is even.

∴ Number of digits in the square root of 64 $\frac { n }{ 2 } =\frac { 2 }{ 2 } =1$

**(ii) 144**

Number (n) of digits in 144 = 3 which is

∴ Number of digits in the square root of 144 $\frac { n+1 }{ 2 } =\frac { 3+1 }{ 2 } =\frac { 4 }{ 2 } =2$

**(iii) 4489**

Number (n) of digits in 4489 = 4 which is even.

∴ Number of digits in the square root of 4489 $\frac { n }{ 2 } =\frac { 4 }{ 2 } =2$

**(iv) 27225**

Number (n) of digits in 27225 = 5 which is odd.

∴ Number of digits in the square root of 27225 $\frac { n+1 }{ 2 } =\frac { 5+1 }{ 2 } =\frac { 6 }{ 2 } =3$

**(v) 390625**

Number (n) of digits in 390625 = 6 which is even.

∴ Number of digits in the square root of 390625 $\frac { n }{ 2 } =\frac { 6 }{ 2 } =3$

**Question 3. Find the square root of the following decimal numbers:**

**(i)** 2.56**(ii)** 7.29**(iii)** 51.84**(iv)** 42.25**(v)** 31.36

**Solution.**

**(i) 2.56**

**(ii) 7.29**

**(iii) 51.84**

**(iv) 42.25**

**(v) 31.36**

**Question 4. Find the least number which must be subtracted from each of the following numbers so as to get a perfect square. Also find the square root of the perfect square so obtained.**

**(i) **402**(ii)** 1989**(iii)** 3250**(iv)** 825**(v)** 4000

**Solution.**

**(i)402**

**(ii) 1989**

**(iii) 3250**

**(iv) 825**

**(v) 4000**

**Question 5. Find the least number which must be added to each of the following numbers so as to get a perfect square. Also find the square root of the perfect square so obtained.**

**(i)** 525**(ii)** 1750**(iii)** 252**(iv)** 1825**(v)** 6412

**Solution.**

**(i) 525**

**(ii) 1750**

**(iii) 252**

**(iv) 1825**

**(v) 6412**

**Question 6. Find the length of the side of a square whose area is 441 m2.**

**Solution.**

Area of the square = 441 m2

∴ Length of the side of the square

**Question 7. In a right triangle ABC, ∠B = 90°.**

**(a)** If AB = 6 cm, BC = 8 cm, find AC**(b)** If AC 13 cm, BC = 5 cm, find AB.

**Solution.**

**(a)** In the right triangle ABC,

∠B = 90°

Given

**Question 8. A gardener has 1000 plants. He wants to plant these in such a way that the number of rows and the number of columns remain same. Find the minimum number of plants he needs more for this.**

**Solution.**

Let the number of rows be x.

Then the number of columns is x.

**Question 9. There are 500 children in a school. For a P.T. drill they have to stand in such a manner that the number of rows is equal to number of columns. How many children would be left out in this arrangement?**

**Solution.**

Let the number of rows be x.

Then the number of columns is x.

## NCERT Solutions for Class 8 Maths Chapter 6 Squares and Square Roots Exercise 6.4 PDF

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