Math, asked by soham65, 1 year ago

Express ⁴√1250 in its simplest form

Answers

Answered by birdavindersingg

1250 is the simplest form

sowmi2809: Hi ,

i think it is forth root of 1250 or 4√1250

I answer both questions .

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

expressing 1250 into product of prime

= ( 5 × 5 × 5 × 5 × 2 ) ^ 1/4

= ( 5^4 × 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

= 100√2

I hope this helps you .

Answered by dhr1

the correct answer is 5√2

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