Question 1 :
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.<br/>$402$<br/>$1989$<br/>
Question 5 :
Find the square root of the $9216$ by the prime factorisation method.<br/>
Question 6 :
What is the least number to be added to $4523$ to make it a perfect square?
Question 7 :
The square root of $71\, \times\, 72\, \times\, 73\, \times\, 74\, +\, 1$ is :
Question 10 :
The value of $\sqrt{5+\sqrt{11+ \sqrt{19 + \sqrt{29 + \sqrt{49 }}}}}$ is
Question 12 :
The square root of $\displaystyle\frac{36}{5}$ correct to two decimal places is _____________.
Question 19 :
The number that must be subtracted from $16161$ to get a perfect square is ________.
Question 23 :
The number N = 173889 is a perfect square The sum of the digits in$\displaystyle \sqrt{N}$ is
Question 26 :
By splitting into prime factors, find the square root of $729$
Question 27 :
Area of a square plot is $2304$  $ \displaystyle m^{2} $. Find the side of the square plot.
Question 28 :
The number which exceeds its positive square root by $12$ is
Question 31 :
One-third of the square root of which number is $0.001$ ?
Question 32 :
What should come in place of both the x in the equation $\displaystyle \frac{x}{\sqrt{128}}=\frac{\sqrt{162}}{x}$?
Question 34 :
A man plants his orchard with $5625$ trees, and arranges them so that there are as many rows as there are trees in a row; how many rows are there?
Question 35 :
What smallest number must be added to 269 to make it a perfect square:
Question 36 :
Find the value of $\sqrt{15625}$ and the use it to find the value of $\sqrt{156.25}+\sqrt{1.5625}$.
Question 38 :
A group of students decided to collect as many paise from each member of the group as is the number of members. If the total collection amounts to $Rs.22.09$, the number of members in the group is
Question 40 :
What is the smallest number by which 338 is multiplied or divided to make a perfect square?
Question 41 :
If $16^{2} = 256$, then which of the following are perfect squares?
Question 51 :
Find the least number that must be subtracted so that the resulting number is a perfect square.<br/>1886
Question 52 :
Which smallest whole number is to be multiplied to $2028$ to get a perfect square number?<br/>
Question 53 :
A group of people decided to collect as many rupees from each member of the group as is the number of members. If the total collection amounts to $2209$, what is the number of members in the group?
Question 55 :
A school was having a gathering. The organizing teacher wanted the students to be seated in the same number of rows and columns. The number of students were $10000$. Find the number of rows and columns.
Question 58 :
Mr. Hansraj wants to find the least number of boxes to be added to get a perfect square. He already has $7924$ boxes with him. How many more boxes are required?<br/>
Question 59 :
The value of $\sqrt { \sqrt [ a ]{ { 4 }^{ { a }^{ { a }^{ 2 } } }\sqrt { { 6 }^{ { a }^{ 3 } }\sqrt [ { a }^{ 3 } ]{ { 12 }^{ { a }^{ 6 } }\sqrt [ { a }^{ 4 } ]{ { 18 }^{ { a }^{ 10 } } } } } } }$ is equal to
Question 60 :
Write the correct answer from the given four options.<br>196 is the square of
Question 61 : <p>Find the value of the following using some identity.</p><p>$44 \times 46$</p>
Question 63 :
Find the least number which must be added to the following number so as to get a perfect square.<br/>$1750$
Question 65 :
Write the correct answer from the given four options.<br>Given that $\sqrt{4096} = 64$, the value of $\sqrt{4096} + \sqrt{40.96}$ is
Question 69 :
Evaluate each of the following using identities :<br/>i) $(399)^2$<br/>ii) $(0.98)^2$<br/>iii) $991 \times 1009$
Question 72 :
Find the square root of which of the following numbers will be the least :
Question 73 :
Some question and their alternative answer are given. Select the correct alternative . Out of the dates given below which date constitutes a pythagorean triplet ?
Question 74 :
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 <br/>$(i) 402, (ii) 1989, (iii) 3250, (iv) 825, (v) 4000$
Question 76 :
What least number must be added to 700 to make the sum a perfect square? (Use Long division method).<br>
Question 79 :
If $x=\sqrt {12}-\sqrt {9},y=\sqrt {13}-\sqrt {10}$ and $z=\sqrt {11}-\sqrt {8}$, then which of the following is true?
Question 80 :
The least number which is a perfect square and has $540$ as a factor is<br/>
Question 83 :
The square root of 496 correct to three places of decimal is 22.271<br/>State true or false.
Question 84 :
If x is a positive integer less than 100, then the number of x which make $\displaystyle \sqrt{1+2+3+4+x}$ an integer is
Question 85 :
$21^{2}-1$ is a product of two consecutive even numbers. Find those numbers.<br/>
Question 87 :
Write the correct answer from the given four options.<br>If m is the square of a natural number n, then n is
Question 88 :
$\displaystyle \sqrt { 4.8\times { 10 }^{ 9 } } $ is closest in value to
Question 92 :
Find the number of digits in the square root of each of the following numbers (without any calculation)<br>$64$<br>$144$<br>$4489$<br>$27225$<br>$390625$
Question 93 :
The square root of sum of the digits in the square of $121$ is
Question 94 :
For each of the following, find the least number that must be added so that the resulting number is a perfect square. 7172
Question 95 :
Find the least number which must be added to the following number so as to get a perfect square. <br/>$1825$<br/>
Question 97 :
State true or false:The square root of 5.2005 correct to two decimal places is 2.28.<br/>
Question 98 :
Some questions and their alternative answer are given. Select the correct alternative . Out of the following which is the pythagorean triplet?
Question 99 :
Without actual finding the square of the numbers, find the value of $120^2 - 119^2$.<br/>
