Math, asked by Ziko70971, 1 month ago

Simplify 5√128 please solve problem

Answers

Answered by prakashakash802
0

Step-by-step explanation:

Factor 128 into its prime factors

128 = 27

To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.

Factors which will be extracted are :

64 = 26

Factors which will remain inside the root are :

2 = 2

To complete the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :

8 = 23

The simplified SQRT looks like this:

8 • sqrt (2)

Simplified Root :

8 • sqrt(2)

Answered by harikaran9788
0

Answer:

40√2

Step-by-step explanation:

5√128 = 5√4*32

= 5√4*4*4*2

= 40√2

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