Square root - practice problems
Roots in math refer to values that satisfy an equation when set to zero (e.g., x = 2 is a root of x2 - 4 = 0 ).The square root (√) of a number a is a value x such that x2 = a (e.g., √25 = 5 ).
Higher-order roots, like cube roots (cbrt or ∛), solve equations such as x3 = 8 (result: x = 2 ).
Roots are fundamental in algebra, calculus, and real-world applications like physics (e.g., calculating distances or growth rates).
Number of problems found: 1235
- Area + perimeter TR2
Find the area of a triangle, two sides of which are 8 cm and 11 cm and the perimeter is 32 cm. - A rope for cow
Find the length of a rope by which a cow must be tethered in order that it may be able to graze an area of 154 sq m . - Parallel lines - dist
Find the distance between the parallel lines 3x – 4y +7 = 0 and 3x – 4y + 5 = 0 - Rhombus = area, diagonal
The area of a rhombus is 144 sq cm. One of its diagonals is twice the other. How long is the shorter diagonal?
- The rhombus (a,d) Find the area of a rhombus, one side of which measures 20 cm, and one diagonal 24 cm.
- A tree 3
A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle 30° with it. The distance between the foot of the tree to the point where the top touches the ground is 8 m. Find the height of the tree. - A field
A field is in the shape of a trapezium whose parallel sides are 25 m and 10 m and the non parallel sides are 14 m and 13 m. Find the area of the field. - Triangle 90
Triangle made by 6 cm 4.5 cm and 7.5 cm. what angles does it make? - 765 chairs
765 chairs are arranged in rows in such a way that the number of chairs in each row is equal to the number of rows. How many chairs needs to be removed to complete this arrangement?
- A baseball
A baseball is hit over the 325 foot fence, which is 110 feet tall. How far did the ball carry on a straight line when it reached the fence? - Three inscribed objects
A circle is inscribed in a square. An equilateral triangle of side 4√3 is inscribed in that circle. Find the length of the diagonal of the square. - A variable
A variable rectangle has a constant area of 35 cm². Find the lengths of the sides when the perimeter is minimum. - A chord 2
A chord of length 16 cm is drawn in a circle of radius 10 cm. Calculate the distance of the chord from the center of the circle. - Isosceles triangle 17
One of the equal sides of an isosceles triangle is 13 cm and its perimeter is 50 cm. Find the area of the triangle.
- Spheres - ratios
The surface area of two spheres are in the ratio 1 : 4 . Find the ratio of their volumes. - Two circles 3
Two circles are inscribed in a square whose side is 4 cm. Find the radius of the smaller circle. - Grassland and goat
An unfenced grassland is a right triangle ABC with AB = 4m, BC = 8m, and AC as hypotenuse. A goat is tied to a 5-m long rope with its stake at point O, which is 2m from side AB and 2m from the prolongation of side BC through corner B. Then: 1. How far is - A ladder 2
A ladder 10 m long reaches the window of a house 8 m above the ground. Find the distance of the foot of the ladder from the base of the wall. - The areas
The areas of two similar triangles are 12 sq cm and 48 sq cm. If the height of the smaller one is 2.1 cm, then find the height of the bigger one.
Find the ratio of the areas of the incircle and the circumcircle of a square.Do you have unsolved problem that you need help? Ask a question, and we will try to solve it. Solving math problems.
