Subject Experts Solutions for Chapter: Squares and Square Roots, Exercise 2: TEST YOUR SKILLS

Find the smallest square number that is divisible by each of the numbers $8, 15$ and $20$

Is $2352$ a perfect square? If not, find the smallest multiple of $2352$ so as to get a perfect square number. Find the square root of the new number.

Find the smallest number by which $9408$ must be divided, so that the quotient is a perfect square. Find the square root of the quotient.

The student of class $\mathrm{X}$ of a school donated $₹2401$ in all, for a $\mathrm{P}.\mathrm{M}.$ fund. Each student donated as many rupees as the number of students in the class. Find the number of students in the class.

In $△\mathrm{ABC},\angle B=90°.$ If $\mathrm{AB}=15 \mathrm{cm}, \mathrm{BC}=8 \mathrm{cm},$ find the length of $\mathrm{AC}$

The area of a square field is $484 {\mathrm{cm}}^2$. The perimeter of this square is equal to the perimeter of a rectangular field which length is thrice its breadth. Find the dimensions of the rectangular field.

A man wants to plant $3136$ plants in his garden in such a way that the number of rows is equal to the number of plants in each row. Find the number of rows.

Find the smallest number by which $9408$ must be divided to get a perfect square number. Also, find the square root of the number so obtained.