Monica Capoor Solutions for Chapter: Squares and Square Roots, Exercise 7: EXERCISE

Find the least number which must be subtracted from $390700$ so as to get perfect square. Also, find the square root of the perfect square so obtained.

Find the greatest number with five digits which is a perfect square. Also, find the square root of the number so obtained.

A ladder is placed with its foot $5 \mathrm{m}$ from the bottom of a wall $12 \mathrm{m}$high. The top of the ladder just reaches the top of the wall. If the length of the ladder is $k \mathrm{m}$, find the value of $k$. 

If the area of a square is$12100 {\mathrm{m}}^2$, find its perimeter. 
 

The area of a square field is$63504 {\mathrm{m}}^2$. How much time will a man take to complete one round along its boundary, if he cycles at a constant speed of $26.88 \mathrm{km}/\mathrm{h}?$
 

The area of a square field is$65536 {\mathrm{m}}^2$. If the cost of fencing at the rate $₹5$ per metre is $k \mathrm{m}$, find the value of $k$.

For Republic Day celebrations,$8684$soldiers were to be arranged in the form of a square. In doing so,$35$soldiers were left out. How many soldiers were in a row? 

A gardener has$1300$saplings. He wants to plant these in such a way that the number of columns and the number of rows remain same. Find the least number of more saplings he needs for this.