Question

1-Wirich of the Tollowing numbers are perfect squares?
(a)3364
(b)4489
(C)4358
2-Using the property of squares , find the value of the following.
(a)242-232 (b)502 - 49% (0)1052 - 104?
3-Without adding find the sum.
(a)1+3+5+7+9
(b)1+3+5+7+9+11+13+15_17+19+21+23+
4-Find the square root of the following by prime factorisation m
(a)1024
(b)8836
(c)8464
5- Find the smallest number by which 2475 must be multiplied t
perfect square.
6-4096 soldiers are arranged in an auditorium in such a manne
there are as many soldiers in a row as there are rows in the
auditorium. How many rows are there in the auditorium?
7-Find the least perfect square exactly divisible by each one o
numbers 4, 5, 10.
8-Find the least square number exactly divisible by each one
numbers 6, 9, 10, 15 and 20.
9-Find the least number which must be added to 4215 to make it.
perfect square.
10-Find the lest number which should be subtracted from 984 to n
it a perfect square Also find the square root of this perfect square
11- The area of the square field is 8464m. Aman takes 3 rounds of
field. Find the distance covered by him.
12- Find the square root of the following decimal numbers.
(d)9.61 (e)o.16​

Answer 1

Given : Many Questions Squares related

To find : Perfect Squares , square difference

Solution:

√3364  = 58

√4489 = 67

4358 is not perfect square

4356 = 66²

24² - 23²

using a² - b²

= ( a + b)(a - b)

(24 + 23)(24 - 23)

= 47 * 1

= 47

50² - 49²

= (50 + 49)(50 - 49)

= 99

105² - 104²

= (105 + 104)(105 - 104)

= 209

1024 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2

= (2 * 2) * (2 * 2) (2 * 2) ( 2* 2) ( 2 ( 2)

√1024 = 2 * 2 * 2 * 2 * 2 = 32

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