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2 years ago

What is the simplest form of√1,764? A. 32(72) B. 22(32)(72) C. 21 D. 42

Mathematics

2 answers:

Sveta_85 [38]2 years ago

8 0

Answer:

The simplest form of√1,764 is 42.

Step-by-step explanation:

We have to write $\sqrt{1764}$ in simplest form. It can be simplified by taking its square root. If a number is multiplied with itself such that we get a original number, then that number is called square root.

For example, 3 and -3 are square roots of 9. In this case, the square root of 1764 can be determined using factorization method also.

Factors of 1764 are : 2 × 2 × 3 × 3 × 7 × 7. So, in simplest form 1764 is equal to 42.

Hence, the correct option is (d) " 42 ".

sladkih [1.3K]2 years ago

5 0

Square root of 1764 is 42 so D

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Answer:

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Step-by-step explanation:

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According to the question,

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P(E/A) is the probability that a goggle is returned within 10 days of its purchase given that it was of type A.

P(E/B) is the probability that a goggle is returned within 10 days of its purchase given that it was of type B.

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$P(E \cap A) = P(A) \times P(E/A)$

$P(E \cap A) = \dfrac{30}{100} \times \dfrac{5}{100}\\\Rightarrow P(E \cap A) = 1.5 \%$

$P(E \cap B) = P(B) \times P(E/B)$

$P(E \cap B) = \dfrac{70}{100} \times \dfrac{2}{100}\\\Rightarrow P(E \cap B) = 1.4 \%$

$P(E) = 1.5 \% + 1.4 \% \\P(E) = 2.9\%$

If a goggle is returned within 10 days of its purchase, probability that it was of type B:

$P(B/E) = \dfrac{P(E \cap B)}{P(E)}$

$\Rightarrow \dfrac{1.4 \%}{2.9\%}\\\Rightarrow \dfrac{14}{29}$

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