Exercise 5.4

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

**i. 2304**

**ii. 4489**

**iii. 3481**

**iv. 529**

**v. 3249**

**vi. 1369**

**vii. 5776**

**viii. 7921**

**ix. 576**

**x. 1024**

**xi. 3136**

**xii. 900**

Solution:

i.

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

**calculation).64**

**i. 144**

**ii. 4489**

**iii. 27225**

**iv. 390625**

Solution:

i.

**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.**

∴ The length of each side of the field = a m = 21 m.

**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.

Hence, AC = 10 cm.

b.

Hence, AB = 12 cm

**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 and column be, x.

∴ Total number of row and column= x× x = x2 As per question, x2 = 1000

⇒ x = √1000