SQUARE ROOT BY LONG DIVISION METHOD
In this section, you will learn, how to find square root of a number step by step.
Let us find the square root of 104976 step by step using long division method.
Step 1 :
Separate the digits by taking commas from right to left once in two digits.
10,49,76
When we do so, we get 10 before the first comma.
Step 2 :
Now we have to multiply a number by itself such that
the product ≤ 10
(The product must be greatest and also less than 10)
The above condition will be met by “3”.
Because 3 ⋅ 3 = 9 ≤ 10.
Now this situation is explained using long division
In the above picture, 9 is subtracted from 10 and we got the remainder 1.
Step 3 :
Now, we have to bring down 49 and quotient 3 to be multiplied by 2 as given in the picture below.
Step 4 :
Now we have to take a same number at the two places indicated by "?".
Then, we have to find the product as shown in the picture and also the product must meet the condition as indicated.
Step 5 :
The condition said in step 4 will be met by replacing "?" with "2".
Than we have to do the calculation as given in the picture.
Step 6 :
Now, we have to bring down 76 and quotient 32 to be multiplied by 2 as given in the picture below.
Step 7 :
In the above picture, we have applied the procedures explained in step 4 and step 5. And we got the remainder zero.
Step 8 :
From the above picture, finally we got the square root of 104976. That is 324.
Hence, the square root of 104976 is
324
Practice Problems
Find the square root of the following numbers using long division method.
1) 12321
2) 16384
3) 65536
4) 474721
5) 145161
6) 2116
7) 55225
8) 7744
9) 106276
10) 278784
Answers for the above questions :
1) 111
2) 128
3) 256
4) 689
5) 381
6) 46
7) 235
8) 88
9) 326
10) 528
Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.
If you have any feedback about our math content, please mail us :
v4formath@gmail.com
We always appreciate your feedback.
You can also visit the following web pages on different stuff in math.
WORD PROBLEMS
Word problems on simple equations
Word problems on linear equations
Word problems on quadratic equations
Area and perimeter word problems
Word problems on direct variation and inverse variation
Word problems on comparing rates
Converting customary units word problems
Converting metric units word problems
Word problems on simple interest
Word problems on compound interest
Word problems on types of angles
Complementary and supplementary angles word problems
Trigonometry word problems
Markup and markdown word problems
Word problems on mixed fractrions
One step equation word problems
Linear inequalities word problems
Ratio and proportion word problems
Word problems on sets and venn diagrams
Pythagorean theorem word problems
Percent of a number word problems
Word problems on constant speed
Word problems on average speed
Word problems on sum of the angles of a triangle is 180 degree
OTHER TOPICS
Time, speed and distance shortcuts
Ratio and proportion shortcuts
Domain and range of rational functions
Domain and range of rational functions with holes
Graphing rational functions with holes
Converting repeating decimals in to fractions
Decimal representation of rational numbers
Finding square root using long division
L.C.M method to solve time and work problems
Translating the word problems in to algebraic expressions
Remainder when 2 power 256 is divided by 17
Remainder when 17 power 23 is divided by 16
Sum of all three digit numbers divisible by 6
Sum of all three digit numbers divisible by 7
Sum of all three digit numbers divisible by 8
Sum of all three digit numbers formed using 1, 3, 4
Sum of all three four digit numbers formed with non zero digits
Recent Articles
-
Using Translation Vectors to Transform Figures Worksheet
Aug 02, 21 07:10 AM
Using Translation Vectors to Transform Figures Worksheet
-
Find Translation of a Point Along the Given Vector
Aug 02, 21 05:03 AM
Find Translation of a Point Along the Given Vector
-
Translation of the Image Under the Point Practice Problems
Aug 02, 21 04:03 AM
Translation of the Image Under the Point Practice Problems
