M L Aggarwal Solutions for Chapter: Squares and Square Roots, Exercise 1: Exercise

Find the number of digits in the square root of $525625$. (Without any calculation).

Find the greatest number of six digits which is a perfect square.

In a right triangle $ABC,\angle B=90°$

If $AB=14 \mathrm{cm}, BC=48 \mathrm{cm}$, find $AC$

In a right triangle $ABC,\angle B=90°$

If $AC=37 \mathrm{cm}, BC=35 \mathrm{cm}$ find $AB$

A gardener has $1400$ plants. He wants to plant these in such a way that the number of rows and number of columns remains same. Find the minimum number of plants he needs more for this.

There are $1000$ children in a school. For a P.T. drill they have to stand in such a way that the number of rows is equal to number of columns. How many children would be left out in this arrangement?

Amit walks $16 \mathrm{m}$ south from his house and turns east to walk $63 \mathrm{m}$ to reach his friend's house. While returning, he walks diagonally from his friend's house to reach back to his house. What distance did he walk while returning?

A ladder $6 \mathrm{m}$ long leaned against a wall. The ladder reaches the wall to a height of $4.8 \mathrm{m}$. Find the distance between the wall and the foot of the ladder.