square root of 0.26 by long method pls answer in paper
Answers
Step-by-step explanation:
n Value √n Value √n Value
√1 1 √18 4.2426 √35 5.9161
√2 1.4142 √19 4.3589 √36 6
√3 1.7321 √20 4.4721 √37 6.0828
√4 2 √21 4.5826 √38 6.1644
√5 2.2361 √22 4.6904 √39 6.2450
√6 2.4495 √23 4.7958 √40 6.3246
√7 2.6458 √24 4.8990 √41 6.4031
√8 2.8284 √25 5 √42 6.4807
√9 3 √26 5.0990 √43 6.5574
√10 3.1623 √27 5.1962 √44 6.6332
√11 3.3166 √28 5.2915 √45 6.7082
√12 3.4641 √29 5.3852 √46 6.7823
√13 3.6056 √30 5.4772 √47 6.8557
√14 3.7417 √31 5.5678 √48 6.9282
√15 3.8730 √32 5.6569 √49 7
√16 4 √33 5.7446 √50 7.0711
√17 4.1231 √34 5.8310
How do Find Square Root?
To find the square root of any number, we need to figure out whether the given number is a perfect square or imperfect square. If the number is a perfect square, such as 4, 9, 16, etc., then we can factorise the number by prime factorisation method. If the number is an imperfect square, such as 2, 3, 5, etc., then we have to use a long division method to find the root.
Example: Square of 7 = 7 x 7 = 72 = 49
The square root of 49, √49 = 7
Square root By Prime Factorisation
The square root of a perfect square number is easy to calculate using the prime factorisation method. Let us solve some of the examples here:
Number Prime Factorisation Square Root
16 2x2x2x2 √16 = 2×2 = 4
144 2x2x2x2x3x3 √144 = 2x2x3 = 12
169 13×13 √169 = 13
256 256 = 2×2×2×2×2×2×2×2 √256 = (2x2x2x2) = 16
576 576 = 2x2x2x2x2x2x3x3 √576 = 2x2x2x3 = 24
Click here to learn more about the prime factorization and methods.
How to Find Square Root by Division Method
Finding square roots for the imperfect numbers is a bit difficult but we can calculate using a long division method. This can be understood with the help of the example given below. Consider an example of finding the square root of 436.
Square root by long division method
