Meaning and Representation of Square Root

Q. Find the cube root of 512.

Q. Find the square root of $4096$ by the prime factorisation method.
[3 marks]
[NCERT - Ex 6.3, Q4 (iv)]
[Finding Square Root]

1. $32$
2. $64$
3. $16$
4. $128$

Q. Cube root of -17576 ?

1. -26
2. 26
3. -13
4. -169

Q. What is the smallest number with which 1188 should be divided to get a perfect cube?

Q.

Match the following with their square roots.

$\begin{array}{cc}Numbers& Squareroots\\ 1.289& a.22\\ 2.1225& b.17\\ 3.196& c.35\\ 4.484& d.14\end{array}$

1. 1-b, 2-d, 3-c, 4-a

2. 1-b, 2-c, 3-d, 4-a

3. 1-c, 2-b, 3-d, 4-a

4. 1-b, 2-c, 3-a, 4-d

Q. What is the least number by which 30375 should be multiplied to get a perfect cube?

Q. Which of the following numbers is not a perfect square?

1. 625
2. 121
3. 124
4. 81

Q. Find the smallest number by which 100 should be multiplied to obtain a perfect cube.

Q. Solve $(ab+1{)}^2$ - $(ab{)}^2$ where, b - a = 1.

1. $a^2$ + $b^2$
2. $(a+1{)}^2$ + $(b+1{)}^2$
3. $b^2$
4. $a^2$ + $(b+1{)}^2$

Q. If $\sqrt{\left(0.49\right)}=x,$ then $x=$ ?

1. only 0.7
2. only -0.7
3. either 0.7 or -0.7
4. neither 0.7 nor -0.7

Q. Solve $(ab+1{)}^2$ - $(ab{)}^2$ where, b - a = 1.

1. $(a+1{)}^2$ + $(b+1{)}^2$
2. $b^2$
3. $a^2$ + $b^2$
4. $a^2$ + $(b+1{)}^2$

Q. What is the square root of 196?

1. 12
2. 15
3. 13
4. 14