Finding Square Root through Repeated Subtraction

Q. How to find if a number is not a perfect square

Q.

Find the square root of 100 by the method of repeated subtraction.

Q. Find the square root of 169 by the method of repeated subtraction

Q.

If $ab+bc+ca=0$, then the value of $\frac{1}{a^2-bc}+\frac{1}{b^2-ca}+\frac{1}{c^2-ab}$ will be:

A.$-1$
B.$a+b+c$
C.$abc$
D.$0$

Q.

3, 9, 6, 36, 30, ?

What will be come in place of ‘?’.

Q.

Find the square root of $99999$ by the long division method.

Q.

How do you simplify the square root of $243$?

Q.

How do you find the square root $3969$?

Q.

Which among the following is a prime triplet?

1. {3, 5, 7}

2. {17, 19, 23}

3. {41, 43, 47}

4. {67, 71, 73}

Q.

Find the square roots of the following numbers by the Prime Factorisation Method.

(i) $729$ (ii) $400$ (iii) $1764$ (iv) $4096$ (v) $7744$ (vi) $9604$ (vii) $5929$ (viii) $9216$ (ix) $529$ (x) $8100$

Q. 10, _ , 74, 100, 202 Find the mission term

Q.

How do you find the square root $2000$?

Q.

Fill in the blank to make the statement true.

${\left[{\left(\frac{2}{13}\right)}^{-6}÷{\left(\frac{2}{13}\right)}^3\right]}^3\times {\left(\frac{2}{13}\right)}^{-9}$$=$$..................$

Q. The square of a number (other than 1) is either a multiple of 3or exceeds a multiple of 3 by

Q.

Square numbers can only have _________ number of zeros at the end.

1. Even

2. Odd

3. Can't be determined

4. There should not be zeros at the end of a perfect square.

Q.

Find the greatest number of $6$ digits which is a perfect square. Find the square root of this number.

Q. Find the square root of 25 by repeated subtraction.

1. 5
2. 4
3. 3
4. 6

Q. Simplify:
$4\sqrt{3}(2\sqrt{27}-4\sqrt{48})-5\sqrt{3}(\sqrt{12}-3\sqrt{75})$.

1. 75
2. 48
3. 78
4. 57

Q.

Find the square root of $0.9$

Q.

Splitting into prime factors, find the square root of:

i)396900

ii)194481

Q.

What is logarithm? ?

Q.

Find the greatest $4$-digit number which is a perfect square.

Q. What is the square root of 135

Q. Any square number can be written as a sum of successive ________ .

1. even numbers
2. square numbers
3. odd numbers
4. prime numbers

Q. 3+√5/2√5+3=a+b√5

Q.

Find the square roots of 121 and 169 by the method of repeated subtraction.

Q.

How to find the square number between 25 and 75

Q.

It would take ___ steps to arrive at 0 from 256 to find its square root by repeated subtraction of odd numbers.

Q.

A square number cannot end with:

1. 3

2. 0

3. 1

4. 4

Q.

The square root of $0.9$ is $0.3$. State whether the statement is true (T) or false (F).

1. True
2. False