Question

simplest form of 5√1250​

Answer 1

1 ) forth root of 1250 = ( 1250 ) ^ 1/4

expressing 1250 into product of prime

= ( 5 × 5 × 5 × 5 × 2 ) ^ 1/4

                                = ( 5^4 )^ 1/4 * ( 2 )^ 1/4  [ ∵ ( ab )^m = a^m × b^n ]

                                  = 5 × ( 2 )^1/4                  [ ∵ ( a^m ) ^n =  ^mn ]

2 ) 4 √(1250) = 4 √ [(5 × 5 ) × ( 5 × 5 ) × 2 ]

                      = 4 × 5 × 5 × √2

Answer 2

5√1250

FACTORISE....

5√2×5×5×5×5

MAKING THE PAIRS OF 5..

5×5×5√2

125√2

HOPE IT WILL HELP YOU DEAR......