Question

$\sqrt{56.25}$
solve under root....Answer is 7.5​

Answer 1

Answer:

The square root of 56.25 is 7.5

Let us solve this one using prime factorization method

56.25 = \frac{5625}{100}56.25=1005625

5625 = 5 x 1125

                  = 5 x 5 x 225

                  = 5 x 5 x 5 x 45

                  = 5 x 5 x 5 x 5 x 9

                  = 5 x 5 x 5 x 5 x 3 x 3

                  = 5^{4}54 x 3^{2}32

100 = 10 x 10

               = 10^{2}102

\sqrt{56.25} = \sqrt{\frac{5625}{100} }56.25=1005625

                   = \sqrt{\frac{5^{4}3^{2} }{10^{2} } }=1025432

                   = \frac{5^{2}3 }{10}=10523

                   = \frac{75}{10}=1075

                   == 7.5

Answer 2

1. 7 la table se 7 baar mein 49 aaya uske baad wo 56 and 49 se cut hokar 7 bach gya
2. uske baad 25 niche aa gya aur 5 la table se 5 baar mein cut ho gya aur jo wha par 14 likha h wo 7+7 14 hota h uske baad 5 hai okay and 725 cut ho gya aur answer aaya 7.5 okay yeh sort foam hai aur root nikalna bhut easy hota try karke dekhna