The simplified expression equivalent to 4147−−−√ a - 37√ . b - 283√ . c - 127√ is 64 - 6√ * b - 283√ * c - 127√.
To simplify the expression 4147−−−√ a - 37√ . b - 283√ . c - 127√, we can first try to identify any common factors among the terms.
However, since each term involves a different square root, it's not possible to simplify the expression further using common factors.
To proceed, we can try to simplify each term individually. For instance, we can simplify 4147−−−√ by identifying that 4147 is a perfect square. Since 4147 = 64 * 64, we can rewrite the expression as:
4147−−−√ = √(64 * 64) = 64
Similarly, we can simplify 37√ . b by identifying that 37 is a perfect square. Since 37 = 6 * 6, we can rewrite the expression as:
37√ . b = √(6 * 6) * b = 6√ * b
Applying the same logic to the remaining terms, we get the simplified expression:
64 - 6√ * b - 283√ * c - 127√
Therefore, the simplified expression equivalent to 4147−−−√ a - 37√ . b - 283√ . c - 127√ is:
64 - 6√ * b - 283√ * c - 127√