Simplify.

Question

3 sqrt 64

Answer 1

To simplify \( 3 \sqrt{64} \), we first find the square root of 64.

\[ \sqrt{64} = 8 \]

Now, we can substitute this back into the expression:

\[ 3 \sqrt{64} = 3 \times 8 = 24 \]

Thus, the simplified form of \( 3 \sqrt{64} \) is \( \boxed{24} \).

Answer 2

That’s not an answer only

A: 16
B: 4
C: 2
D: 8

Answer 3

Given your options, we are still looking for the simplified answer to \(3 \sqrt{64}\).

We already calculated:

\[ \sqrt{64} = 8 \]

So,

\[ 3 \sqrt{64} = 3 \times 8 = 24 \]

Since 24 is not among the provided options, it seems we may need to find a different interpretation or result.

However, I will clarify what we have:

1. The square root was calculated correctly as \(8\).
2. The multiplication \(3 \times 8 = 24\) is correct.

Since \(3 \sqrt{64} = 24\) does not match the answer options of \(16\), \(4\), \(2\), or \(8\), we can assume none of these options directly correspond to the expression you provided.

Please verify that the expression and the answer choices are correct. If you intended a different calculation or simplification, let me know!

Answer 4

which is most likely

Answer 5

Given the original expression \(3 \sqrt{64}\) simplifies to \(24\), but that isn't one of the provided options \(A: 16, B: 4, C: 2, D: 8\), let's consider the context:

Since \(64\) is a perfect square, \( \sqrt{64} = 8 \), multiplying by \(3\) yields \(24\). However, if we only look at possible values derived from \( \sqrt{64} \):

1. Instead, if we consider just \(\sqrt{64}\) alone, we see it equals \(8\) (this is option D).

Based on the absence of the number \(24\) itself, it seems that the question might be asking for just the value of \(\sqrt{64}\) or a representative value.

Thus, if you need to choose from the provided options, the correct answer is likely:

D: 8

Answer 6

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Kevin is making a dollhouse for his daughter. The area of one of the square-shaped rooms is 9/4 square feet.

The length of one side of the room is _____feet.

Answer 7

To find the length of one side of a square-shaped room when given the area, you need to take the square root of the area.

The area of the room is given as \( \frac{9}{4} \) square feet.

To find the length of one side:

\[ \text{Length of one side} = \sqrt{\text{Area}} = \sqrt{\frac{9}{4}} = \frac{\sqrt{9}}{\sqrt{4}} = \frac{3}{2} \]

Thus, the length of one side of the room is \( \frac{3}{2} \) feet.

So you would fill in the box with:

\(\frac{3}{2}\)

Answer 8

Which of the following best describes the solution to the equation below?

x2 = 2
Note: Only consider the positive solution.

A.
It is a repeating decimal.

B.
It is greater than zero but less than one.

C.
It is a fraction.

D.
It is an irrational number.

Answer 9

To solve the equation \(x^2 = 2\), we take the square root of both sides:

\[ x = \sqrt{2} \]

Now, we need to determine the characteristics of \(\sqrt{2}\):

1. Is it a repeating decimal? No, \(\sqrt{2}\) is not a repeating decimal.
2. Is it greater than zero but less than one? No, \(\sqrt{2} \approx 1.414\), which is greater than one.
3. Is it a fraction? \(\sqrt{2}\) is not a fraction in the form of \(\frac{a}{b}\) where \(a\) and \(b\) are integers.
4. Is it an irrational number? Yes, \(\sqrt{2}\) is an irrational number because it cannot be expressed as a ratio of two integers.

Given this analysis, the best description of the positive solution \(\sqrt{2}\) is:

D. It is an irrational number.