Question

how to find square root of 225 through repeated subtraction fast plzzz

Answer 1

225-1= 224
224-3= 221
221-5=216
216-7=209
209-9=200
200-11=189
189-13=176
176-15=161
161-17=144
144-19=125
125-21=104
104-23=81
81-25=56
56-27=29
29-29=0

Answer 2

Square root of 225 is 15

Explanation:

To find the square root of any number first we can go by eliminating the each and every perfect  square like shown below

$2^{2}$ = 4

$3^{2}$ = 9 and so on if we continue doing till 15 we get

$15 ^{2}$ = 225

For suppose if we want to find a square root of  imperfect square like

Example:-

$\sqrt{87}$

First we will check the nearest perfect square that is $\sqrt{81}$

Now subtract 87 - 81 = 6

As $\sqrt{81}$ = 9

We need double the 9 so we will get 18

Now we write the $\sqrt{87}$ in the form of mixed fraction and we will solve

The mixed fraction = 9 $\frac{6}{18}$ = 9.33

so, 9 is the perfect square of $\sqrt{81}$

    6 is the subtraction of 87-81

     and 18 is the double of 9