Tag: square roots using vedic maths

Questions Related to square roots using vedic maths

Square of a $5$4 by Upsutra Yavadunam Tavadunam Vargecha Yojayet method is?

maths vedic mathematics square roots using vedic maths square and square roots using vedic mathematics history of mathematics

  1. $2686$

  2. $5656$

  3. $6966$

  4. $2916$

Show answer
Correct Option: D
Explanation:

To find the square of $54$,


This is closer to $100$ (base of 10). Write it as $100-46$.

From this method, we can write,

$\dfrac{(54-46)}{46^2}$  i.e., $\dfrac{Number-deficiency}{deficiency^2}$

$=\dfrac{8}{2116}$

As we are using base $100$, digits in hundred's place and above is carry forwarded. Add $21$ to $8$.

ie., $(21+8)16=2916$

$2916$ is the square of $54$.

Square of 78 by Ishta Sankhya is?

maths vedic mathematics square roots using vedic maths square and square roots using vedic mathematics history of mathematics

  1. 6084

  2. 7084

  3. 2164

  4. 4524

Show answer
Correct Option: A
Explanation:

Ishta number $=8$

Now finding the square
$=(78-8)(78+8)+8^2$
$=70\times 86+64$
$6020+64$
$=6084$
So option $A$ is correct.

What will be the value of $x$ if we have to find the square of number $93$ by Upsutra Yavadunam Tavadunam Vargecha Yojayet method
$93^2$=$(93-x)|(x^2)$=$8649$

maths vedic mathematics square roots using vedic maths square and square roots using vedic mathematics history of mathematics

  1. $3$

  2. $4$

  3. $7$

  4. $10$

Show answer
Correct Option: C
Explanation:

$x=100-93=7$

$93^2=(93-7)|(7^2)=8649$

Say True or False
To find square of number by Sutra Ekadhikena Purvena method, the number should end with $5$.

maths vedic mathematics square roots using vedic maths square and square roots using vedic mathematics history of mathematics

  1. True

  2. False

Show answer
Correct Option: A
Explanation:

We can find the square of the number which is ending with 5, using Ekadhikena purvena method.

To find the square of number by  Yavadunam Tavadunam Vargecha Yojayet method the number should be closer to the power of  $10$

maths vedic mathematics square roots using vedic maths square and square roots using vedic mathematics history of mathematics

  1. True

  2. False

Show answer
Correct Option: A
Explanation:

The condition for using Yavadunam Tavadunam Vargecha Yojayet method- Numbers need to be close to the power of 10 (10, 100, 1000, etc).

State the following statement is True or False
We can find the square of number $43$ by Upsutra Yavadunam Tavadunam Vargecha Yojayet method

maths vedic mathematics square roots using vedic maths square and square roots using vedic mathematics history of mathematics

  1. True

  2. False

Show answer
Correct Option: B
Explanation:

The condition for using Yavadunam Tavadunam Vargecha Yojayet method- Numbers need to be close to the power of 10 (10, 100, 1000, etc).

Square of $63$ by Sutra Urdhva-tiryagbhyam method is :

maths vedic mathematics square roots using vedic maths square and square roots using vedic mathematics history of mathematics

  1. $8529$

  2. $4569$

  3. $3969$

  4. $5479$

Show answer
Correct Option: C
Explanation:

To find the square of $63$


$63 \ \times \ 63$

3 steps are there to solve this.

(i)  Multiply the unit digits
 $3 \times 3=9$

(ii) Take the units and tens digit to cross multiply and add the products
$(3\times6)+(6\times3)=18+18=36$

Keep $6$ intact and carry forward $3$ to next step.

(iii) Multiply the tens digits
$6\times6=36$

Add the carry forward $3$ to $36$.
$36+3=39$

Write the numbers obtained from step (iii) to (i) in order.
i.e., $3969$

This the square of $63$ is $3969$.

Square of $112$ by Sutra Urdhva-tiryagbhyam method is :

maths vedic mathematics square roots using vedic maths square and square roots using vedic mathematics history of mathematics

  1. $21844$

  2. $12544$

  3. $16544$

  4. $17644$

Show answer
Correct Option: B
Explanation:

To find the square of $112$


$112 \ \times \ 112$

5 steps are there to solve this.

(i)  Multiply the unit digits
 $2 \times 2=4$

(ii) Take the units and tens digit to cross multiply and add the products
$(2\times1)+(1\times2)=2+2=4$

(iii) Take all three digits to cross multiply and add the products
$(2\times1)+(1\times2)+(1\times1)=2+2+1=5$

(iv) Take the hundreds and tens digit to cross multiply and add the products
$(1\times1)+(1\times1)=1+1=2$


(v) Multiply the hundred digits
$1\times1=1$


Write the numbers obtained from step (v) to (i) in order.
i.e., $12544$

This the square of $112$ is $12544$.

Square root of $20736.893$ Sub-sutra Anurupenya method is?

maths vedic mathematics square roots using vedic maths square and square roots using vedic mathematics history of mathematics

  1. $144.78$

  2. $144.11$

  3. $144.0031$

  4. $154.0021$

Show answer
Correct Option: C

To find the square of $45$ by Ekadhikena Purvena method the digit $4$ should be multiplied by which number.

maths vedic mathematics square roots using vedic maths square and square roots using vedic mathematics history of mathematics

  1. By its previous number

  2. By zero

  3. By its next number

  4. By ten

Show answer
Correct Option: C
Explanation:

In ekadhikena purvena the first digit is multiplied by its next number.

$45^2\Rightarrow $ First 2 digits $=4\times 5$
and last two digits are$=5^2=25\ \Rightarrow 45^2=2025$