Observe (a) and then find the square root of (b), (c), (d) & (e)
a. 21609 = 147
b. 216.09 = ? c. 2.1609 = ?
d. 10.021609 = ? e. 1 0.00021609 = ?
Answers
Explanation:
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Excercise 6.4 Squares and Square Roots- NCERT Solutions Class 8
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Rational Numbers
Ex.6.1
Q1Q2Q3Q4Q5Q6Q7Q8Q9
Chapter 6 Ex.6.4 Question 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)
900
(xii)
900
Solution
Video Solution
What is Known?
Perfect squares
What is unknown?
Square root by using division method.
Reasoning:
When a number is large, even the method of trading the square root by prime factorization becomes lengthy and difficult, so the division method is used.
Steps
(i)
The square root of
2304
is calculated as follows
Since remainder is zero and number of digits and left in the given number. Therefore,
√
2304
=
48
(ii)
The square root of
4489
is calculated as follows.