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2 years ago

What is the exact value of the expression the square root of 72 − the square root of 8 + the square root of 128?

Mathematics

2 answers:

kotykmax [81]2 years ago

7 0

The answer is
$12 \times \sqrt{2}$

Romashka [77]2 years ago

4 0

Answer:

Option B is correct.

Step-by-step explanation:

Given Expression is $\sqrt{72}-\sqrt{8}+\sqrt{128}$

Simplify the given expression,

72 = 2 × 2 × 2 × 3 × 3 ⇒ √72 = 6√2

8 = 2 × 2 × 2 ⇒ √8 = 2√2

128 = 2 × 2 × 2 × 2 × 2 × 2 × 2 ⇒ √128 = 8√2

⇒ $\sqrt{72}-\sqrt{8}+\sqrt{128}=6\sqrt{2}-2\sqrt{2}+8\sqrt{2}$

$=12\sqrt{2}$

Therefore, Option B is correct.

You might be interested in

Solve for x going step by step .

OleMash [197]

Answer:

x=11

Step-by-step explanation:

We know that the angle is equal to 1/2 the difference of the long arc length between where the line segments touch the circle and the small arc length where the line segments touch the circle

They long distance is 360 - (86+74) = 200

The small distance is 86

4x+13 = 1/2 ( 200 - 86)

4x+13 = 1/2 (114)

4x+13 = 57

Subtract 13 from each side

4x+13-13 = 57-13

4x= 44

Divide by 4

4x/4 = 44/4

x=11

6 0

2 years ago

Are the two triangles similar? How do you know?

Bess [88]

There are several conditions where triangles can be proved similar:

AA - where two of the angles are same.

SAS - where two sides of a triangle compare to the corresponding sides in the other are in same proportion, and the angle in the middle are equal.

SSS - Where all sides in a triangle and the corresponding sides are in the same proportion.

In the case above, we can only use the method of SAS, as only two sides of the triangles are given.

<HMG = <JMK (vertically opposite angles)

HM/MK = 8/12 = 2/3

GM/MJ = 6/9 = 2/3

As the two sides of a triangle comparing to the corresponding sides in the other are in same proportion, and the angle in the middle are equal, the above triangles are similar, with the prove of SAS.

Therefore, the answer is C.yes by SAS.

Hope it helps!

7 0

2 years ago

Hi guys<br>I need 3 minus and plus operations with answer thx!

nata0808 [166]

1999+1001=3000 1091+1009=3000 2000+1000=3000

3000-1001=1999 3000-1009=1091 3000-2000=1000

8 0

1 year ago

In a certain year, when she was a high school senior, Idonna scored 671 on the mathematics part of the SAT. The distribution of

goldfiish [28.3K]

Answer:

Idonna's standardized score is 1.41.

Jonathan's standardized score is 0.55.

A.) Idonna's score is higher than Jonathan's

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Idonna scored 671 on the mathematics part of the SAT. The distribution of SAT math scores in that year was Normal with mean 509 and standard deviation 115.

This means that her standardized score is Z when $X = 671, \mu = 509, \sigma = 115$ . So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{671 - 509}{115}$

$Z = 1.41$

Idonna's standardized score is 1.41.

Jonathan took the ACT and scored 24 on the mathematics portion. ACT math scores for the same year were Normally distributed with mean 21.1 and standard deviation 5.3 .

This means that his standardized score is Z when $X = 24, \mu = 21.1, \sigma = 5.3$