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If [tex]\( a = 2 \sqrt{3} \)[/tex], then the exact value of [tex]\( b \)[/tex] is:

A. [tex]\( b \)[/tex]
B. [tex]\( a \)[/tex]
C. [tex]\( 2 \sqrt{3} \)[/tex]
D. 2
E. 4
F. 6

Sagot :

GinnyAnsweridn
To solve this problem, let's go through it step by step:

1. We are given that [tex]\( a = 2\sqrt{3} \)[/tex].
2. The numeric value of [tex]\( 2\sqrt{3} \)[/tex] is approximately [tex]\( 3.464 \)[/tex].

Looking at the multiple choices provided, let's examine the value of [tex]\( a = 2\sqrt{3} \)[/tex] in the context of these choices:

- [tex]\( \sqrt{3} \)[/tex] is approximately [tex]\( 1.732 \)[/tex].
- Option a): [tex]\( 2 \sqrt{3} \)[/tex], which we've already established is [tex]\( a = 2\sqrt{3} \)[/tex].
- Option b): [tex]\( 2 \)[/tex], which is simply the integer 2.
- Option c): 4, another integer.
- Option d): 6, yet another integer.

If we compare the values derived from the options:
- [tex]\( 2 \sqrt{3} \)[/tex] is approximately [tex]\( 3.464 \)[/tex] which matches the calculated value of [tex]\( a \)[/tex].

Thus, the exact value of [tex]\( b \)[/tex] that corresponds to the given [tex]\( a \)[/tex] must be the same [tex]\( a = 2\sqrt{3} \)[/tex].

Therefore, the value of [tex]\( b \)[/tex] is also [tex]\( 2\sqrt{3} \)[/tex].
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