Find the square of 345 using diagonal method.

Find the square root of 64 by repeated subtraction method.

Is 108 a perfect square number

Find the value of \(\sqrt { 256 } \)

Find the smallest number by which 675 must be multiplied to obtain a perfect cube

Evaluate:\(\sqrt [ 3 ]{ \cfrac { 9261 }{ 8000 } } \)

If a company pays Rs. 6 lakh for 15 workers for 20 days, what would it pay for 5 workers for 12 days?

If 81 students can do a painting on a wall of length 448 m in 56 days. How many students can do the painting on a similar type of wall of length 160 m in 27 days?

If 15 men take 40 days to complete a work, how long will it take if 15 more men join them to complete the same work?

A and B together can do a piece of work in 16 days and A alone can do it in 48 days. How long will B done take to complete the work?

P and Q can do a piece of work in 20 days and 30 days respectively. They started the work together and Q left after some days of work and P finished the remaining work in 5 days. After how many days from the start did Q leave?

X, Y and Z can do a piece of job in 4, 6 and 10 days respectively. If X,Y, and Z work together to complete, then find their separate shares if they will be paid Rs 3100 for completing the job.

In the figure, ABC is a triangle and CD is one of its medians.
If AD = 9x − 13 and BD = 4x + 2, find the length of the side AB.

ABC is a triangle and G is its centroid. If AD = 12 cm, BC = 8 cm and BE = 9 cm, find the perimeter of DBDG

In ΔABC, S is the circumcentre, BC = 72 cm and DS = 15 cm. Find the radius of its circumcircle.