Finding Square Root of a Number

Q. an officer wants to arrange 202500 cadets in the form of a square.how many cadets were there in each row

Q.

How do you find the square root $52$?

Q.

What is the length of the largest square tile that can cover the whole floor of a room having length of 96 m and breadth of 50 m.

Q. 2025 plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows. Find the number of rows and the number of plants in each row.

Q.

Find the square root of $9216$ by Prime factorization method.

Q.

How do you find the square root $6561$?

Q.

A general wishing to draw up 64019 men inthe front of a solid square found that he had 10 men over. Find the number of men in the front row.

Q.

The expression $\frac{\sqrt{5}-\sqrt{3}}{\sqrt{5}+\sqrt{3}}$ when simplified reduces to a-b$\sqrt{15}$.

Then a + b is __________.

1. 15

2. 10

3. 20

4. 5

Q.

Find the square root of $6084$ by prime factorization method.

Q.

Find the smallest number by which 235445 must be divided so that it becomes a perfect square also find the square root of the perfect square so obtained

Q.

a gardener wishes to plant 8289 plants in the form of square founded that there were 8 plants left how many plants planted in each row ?

Q.

A gardener wants to arrange his pots of Marigold plants in a equal number of rows and columns .he finds that he has 19 pots more to be arranged, after forming a square if he had 4919 plants initially how many plants who are arranged in a row?

Q.

Find the smallest number by which 243 should be multiplied to get a perfect square.

1. 3

2. 4

3. 1

4. 2

Q.

How do you find the square root $85$?

Q.

A man plants 5625 trees in his orchard in such a way that there are as many rows as there are trees in each row. How many rows are there?

1. 75

2. 25

3. 50

4. 100

Q.

Find the value of $\frac{\sqrt{5+12\mathfrak{i}}+\sqrt{5-12\mathfrak{i}}}{\sqrt{5+12\mathfrak{i}}-\sqrt{5-12\mathfrak{i}}}$?

1. $-\frac{3}{2}\mathrm{i}$

2. $\frac{3}{2}\mathrm{i}$

3. $\frac{-3}{2}$

4. $\frac{3}{2}$

Q.

Square root of 22500 is:

1. 1500

2. 105

3. 150

4. 250

Q.

How do you find the square root of $2704$?

Q. Find the smallest number by which 2450 be multiplied so that the produce is a perfect square.

1. 0
2. 2
3. 7
4. 5

Q.

Find the least number which must be subtracted from each of the following numbers so as to get a perfect square. Also find the square root of the perfect square so obtained. $3250$

Q. Simplify : $\frac{\sqrt{32}+\sqrt{48}}{\sqrt{8}+\sqrt{12}}$

Q. The area of a square field is 60025 m square . a man cycles along its boundary at 18 km per hour.in how much time will be return to the starting point

Q. A floor 10 m long and 8 m broad is to be paved with square tiles of side 0.5m.Find the number of tiles required.?

Q.

Find the least number which must be subtracted from each of the following numbers so as to get a perfect square. Also find the square root of the perfect square so obtained. $402$

Q.

What is the square root of $108$ in the simplest radical form?

Q.

How do you find the square root $33$?

Q.

How do you simplify the square root of $72$?

Q.

In a basket there are $4913$ flowers. A man goes to a number of temples and offers
as many flowers in each temple as there are temples in the city. In all, he needs $17$
baskets of flowers. Find the number of temples in the city.

Q.

There is no square number between $50$and $60$ State whether the statement is true (T) or false (F).

1. True
2. False

Q. Find the least perfect square which is exactly divisible by each of the numbers 6, 9, 15 and 20. [4 MARKS]