Answer:
option B
4 a^4 /b
Step-by-step explanation:
Given in the question an expression
√(16 a^8 b^-2)
This expression can also be written as
√16 . √a^8 . √b^-2
Now as we know that
√16 = √4² = 4
√a^8 = √(a². a² . a² . a²) = √a².√ a².√ a².√ a² = a . a . a . a = a^4
√b^-2 = √1/b² = √1 ÷ √b² = 1 ÷ b = 1/b
Rearranging them
4 a^4 1/b = 4 a^4/b
<h3>Simplified form of √(16 a^8 b^-2) is 4 a^4/b</h3>
Answer:
There are mathematics you could purchase that has answer sheets, what grade you in?
The first one seems like the best answer to me
<h3>
Answer: -√46 is between -7 and -6</h3>
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Explanation:
List out the perfect squares
- 1^2 = 1
- 2^2 = 4
- 3^3 = 9
- 4^2 = 16
- 5^2 = 25
- 6^2 = 36
- 7^2 = 49
- 8^2 = 64
and so on. We can see that 46 is between 6^2 = 36 and 7^2 = 49.
We can say 6^2 < 46 < 7^2
Applying the square root to all three sides leads us to 6 < sqrt(46) < 7
Now multiply all three sides by -1. This will flip the inequality signs
We go from
6 < sqrt(46) < 7
to
-6 > -sqrt(46) > -7
It might help to order things from smallest to largest to get this
-7 < -sqrt(46) < -6
This means -sqrt(46) is between -7 and -6 on the number line
See the diagram below.