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Radials are weird

(14 √(6)) ^(2)whats the answer and how do i solve pls

User Pinco
by
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1 Answer

3 votes

Answer:

1,176

Explanation:

An exponent is a way to represent repeated multiplication. That is ...

x² = x·x . . . . . . . the exponent of 2 means x is a factor 2 times in the product

So, your expression means ...

(14√6)² = (14·√6)·(14·√6)

Of course, the commutative and associative properties of multiplication allow us to regroup these factors to some convenient order, such as ...

(14·14)·(√6)(√6) = 196·(√6)(√6)

We know that multiplying a square root times itself gives the original number. (This is the whole point of a square root.) That is ...

(√6)(√6) = 6

So, the product above is ...

(14√6)² = 14·14·(√6)(√6) = 196·6 = 1,176

_____

Since there are no variables involved here, your calculator can give you this answer.

User Morgan Bengtsson
by
7.8k points
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