Perfect Square Nearest to a Given Number

Q.

The square root of 1.96 equals to

1. 1.44

2. 1.4

3. 1.24

4. 1.34

Q.

Question 2 (i)
Find the number of digits in the square root of each of the following numbers (without any calculation):

64

Q.

Find the least number which must be added to $6412$ so as to get a perfect square.

Also, find the square root of the perfect square so obtained.

1. $147;81$

2. $147;83$

3. $149;81$

4. $149;83$

Q.

What is the relation between number of digits of a perfect square and its root? [1 MARK]

Q.

The square root of 2.25 equals to

1. 1.45

2. 1.5

3. 1.55

4. 2.5

Q. The greatest three-digit number which is a perfect square is _________ . ​
(A) 729
(B) 927
(C) 961
(D) 972

Q.

Estimate the square root of 24 to the nearest whole number.

1. 3

2. 4

3. 5

4. 6

Q.

Find the smallest number by which 405 must be divided, so as to get a perfect square.

1. 3

2. 9

3. 15

4. 5

Q. What must be subtracted from $1729$ to get a perfect square?

Q.

Estimate the square root of 536 to the nearest whole number.

1. 23

2. 24

3. 25

4. 26

Q. More than One Answer Type
एक से अधिक उत्तर प्रकार के प्रश्न

The square root of x, y, z and w have 3, 4, 6 and 7 digits respectively. If number of digits of x, y, z and w are n₁, n₂, n₃ and n₄ respectively, such that n₁, n₂, n₃ and n₄ are odd numbers, then which of the following option(s) is/are correct?

x, y, z तथा w के वर्गमूल में क्रमशः 3, 4, 6 तथा 7 अंक स्थित है। यदि x, y, z तथा w के अंकों की संख्या क्रमशः n₁, n₂, n₃ तथा n₄ है, जबकि n₁, n₂, n₃ तथा n₄ विषम संख्याएं हैं, तब निम्नलिखित में से कौनसा/कौनसे विकल्प सही है/हैं?

1. $\sqrt{5\left(n_2+n_4\right)}=\sqrt{{\left(n_1+1\right)}^2+{\left(n_2+1\right)}^2}$
2. n₁ + n₄ = n₂ + n₃
3. $\frac{n_1{n}_2{n}_3{n}_4}{5}=8n_1^3+1$
4. $\sqrt{n_1+n_2+n_4}=\sqrt[3]{3n_3^2+4}$

Q.

Estimate the square root of 536 to the nearest whole number.

1. 23

2. 24

3. 25

4. 26

Q.

What is the square root of $7$ times the square root of $21$.

Q.

Find the least number which must be added to 18, 265 to obtain a perfect square.

1. 232

2. 237

3. 231

4. 233

Q.

Find the least number that must be subtracted from 2433 so that the resultant is a perfect square.

1. 36

2. 32

3. 34

4. 30

Q.

Find the least number that must be subtracted from 2037 so that the resulting number is a perfect square.

1. 15

2. 12

3. 18

4. 17

Q.

Find the smallest number by which 7623 must be divided to get a perfect square.

1. 9

2. 7

3. 5

4. 3