Word Problems on Square Root

Q. The area of a square field is $2,116$ m${}^2$. Find the length of its side.

1. $36$ m
2. $46$ m
3. $56$ m
4. $26$ m

Q. A rectangle has a length of $24$ cm and a breadth of $6$ cm. The area of this rectangle is equal to the area of another square. Find the side of the square.

1. $14$ cm
2. $12$ cm
3. $18$ cm
4. $16$ cm

Q. Peter wants to carpet a square room of area $169$ square feet. The length of the side of the room is .

Q. In the square root of $31,$ what is the integral part?

1. $5$
2. $6$
3. $7$
4. $8$

Q.

If $5^{-x}=3$, what does $5^{3x}$ equals?

Q. A square plot of land has an area of $225$ square units. Find the perimeter of the land.

1. $15$ units
2. $30$ units
3. $45$ units
4. $60$ units

Q.

Put $>or<$ sign in the boxes:

${(-1)}^{27}{▭(-1)}^{14}$

Q.

Put $>\mathrm{or}<$ sign in the boxes:

${\left(285\right)}^0{▭(-3)}^2$

Q. What would be the value of $x$ for the equation $2^x=32$ ?

1. 2
2. 3
3. 5
4. 6

Q.

Simplify and write the answer in the exponential form.

$(9^{16}÷9^{14})\times 9$

Q. Find the value of the square root of $({26}^2-{24}^2)\times 4$.

1. $400$
2. $100$
3. $10$
4. $20$

Q. If $\frac{0.0048}{x^2}=3$, find the value of $x(\ne 0)$.

1. $0.0016$
2. $0.016$
3. $0.04$
4. $0.4$

Q. Yolanda sent a photo of her and her family on vacation to nine Facebook friends. If each of them sends it to five of their friends, and each of those friends sends it to five of their friends, and those friends send it to five more, how many people (not counting Yolanda herself) will see her photo? No friend received the photo twice. Express your answer in exponential notation.

1. $9+5+5^2+5^3$
2. $9(1+5+5^2+5^3)$
3. $1+5+5^2+5^3$
4. None of the above

Q.

Simplify and write the answer in the exponential form.

${(-7)}^{18}÷{(-7)}^{16}$

Q.

${(-4)}^3$ will be:

1. $16$

2. $-16$

3. $-64$

4. $64$

Q. What would be the value of $x$ for the equation $2^x=\sqrt{2}$ ?

1. $\frac{1}{2}$
2. $\frac{1}{3}$
3. $\frac{1}{4}$
4. $\frac{1}{5}$

Q. What would be the value of $x$ for the equation $8^x=16$ ?

1. $\frac{1}{3}$
2. $\frac{2}{3}$
3. $\frac{4}{3}$
4. $\frac{5}{3}$