Squares and Square Roots

What is the square of the first prime number?

Which of these numbers is the square of $12$?

A perfect square can never end with which of the following total number of zeros?

If $x = 9$, then what is the value of $x^2$?

If the sum of the first $k$ consecutive odd natural numbers is $225$, what is the value of the largest odd number in that sum?

A natural number $n$ has $4$ digits. What is the minimum possible number of digits in its square, $n^{2}$?

Which of the following numbers is the square of an even number?

If $x$ and $y$ are two consecutive natural numbers, then $x^2 + y^2 + (xy)^2$ is always:

What is the sum of digits of the square of $999,999$?

Which of the following expressions represents the square of $n+1$ in terms of $n^2$?

Using prime factorization, find the square root of $7056$ ($2^4 \times 3^2 \times 7^2$).

Calculate the value of $\sqrt{2^2 \times 3^2 \times 17^2}$ using prime factorization.

Find the square root of $2^2 \times 3^2 \times 5^4$ using prime factorization.

Determine the square root of $5476$ if its prime factors are $2^2 \times 37^2$.

If $n = 3^2 \times 2^2 \times 11^2$, what is the value of $\sqrt{n}$?

A square photo frame has an area of $676\text{ cm}^2$. Find the length of its side using prime factorisation.

Using prime factorisation, calculate the value of $\sqrt{324 \times 25}$.

Evaluate the expression: $\sqrt{10^2 - 6^2} + \sqrt{17^2 - 15^2}$.

If $A = \sqrt{225}$ and $B = \sqrt{2025}$, find the value of $B \div A$.

Find the square root of the smallest square number that is exactly divisible by $6, 12,$ and $15$.

What is the first step in the division method to find the square root of $5329$?

Using the number of digits rule, how many digits are in the square root of $1048576$?

What is the number of digits in the square root of $100$?

How many bars (pairs) will be placed over the number $12345$ while finding its square root?

Using the long division method, calculate the square root of $40804$.

Find the side of a square field whose area is $14400$ $m^2$ using the division method.

Find the square root of $57600$ using the division method.

Find the least number that must be added to $7300$ to make it a perfect square.

Using long division, find $\sqrt{9.024016}$.

Find the least number that must be subtracted from $100000$ to get a perfect square.

Estimate $\sqrt{250}$ to the nearest whole number.

Which of these is the best estimate for $\sqrt{68}$?

Between which two whole numbers is $\sqrt{33}$?

What is the nearest integer to $\sqrt{125}$?

Estimate the value of $\sqrt{99}$ to one decimal place.

Which is the best estimate for $\sqrt{0.045}$?

Estimate the square root of $21$ to one decimal place.

Estimate the value of $\sqrt{\sqrt{500}}$ to the nearest tenth.

Estimate the value of $\sqrt{2600}$ to the nearest whole number.

Which of the following is the best estimate for $\sqrt{8.5}$?