Question

Find the square root of 7250 by prime factorisation.

Answer 1

The square root of 7250 is 85.15

Explanation:

`{ \boxed{ \sf{7250}}} \\ ↓ / 2 \\ { \boxed{ \sf{3625}}} \\ ↓ / 5 \\ { \boxed{ \sf{725}}} \\ ↓ / 5 \\ { \boxed{ \sf{145}}} \\ ↓ / 5 \\ { \boxed{ \sf{29}}}`

Find square roots of divisors:

`{ \sf{ = √(2) * √(5 * 5 * 5) * √(29) }} \\ = { \sf{ √(2) * √(125) * √(29) }} \\ = { \sf{85.15}}`

`{ \underline{ \sf{ \blue{christ \:† \: alone }}}}`