A room is 12m 15m long and 8m 91 cm broad .The floor of the room is tobe paved with squared tiles find the lenght of the largest tile that can be used

81 cm

Step-by-step explanation:

Length of a room = 12m 15cm

Width of a room = 8 m 91 cm

12 m 15 cm = 1200 cm + 15 cm = 1215 cm

8 m 91 cm = 800 cm + 91 cm = 891 cm

The floor of the room is tobe paved with squared tiles. We need to find the length of the largest tile that can be used.

To find it we can find the HCF of 1215 cm and 891 cm.

Prime factorization of 1215 = 3 x 3 x 3 x 3 x 3 x 5

Prime factorization of 891 = 3 x 3 x 3 x 3 x 11

HCF = 3 x 3 x 3 x 3

= 81

Hence, the length of the largest tile that can be used is 81 cm.

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.