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lapo4ka [179]
2 years ago
8

5-7

Mathematics
1 answer:
uranmaximum [27]2 years ago
7 0

Answer:

the third option

Step-by-step explanation:

what does that mean ?

to "rationalize" it is to transform it into a rational number (that is a number that can be described as a/b, and is not an endless sequence of digits after the decimal point without a repeating pattern).

a square root of a not square number is irrational (not rational).

so, what this question is asking us to get rid of the square root part in the denominator (the bottom part).

for this we need to multiply to and bottom with the same expression (to keep the whole value of the quotient the same) that, when multiplied at the bottom, eliminates the square root.

what can I multiply a square root with to eliminate the square root ? the square root again - we are squaring the square root.

so, what works for 9 - sqrt(14) as factor ?

we cannot just square this as

(9- sqrt(14))² = 81 -2sqrt(14) + 14

we still have the square root included.

but remember the little trick :

(a+b)(a-b) = a² - b²

without any mixed elements.

so, we need to multiply (9-sqrt(14)) by (9+sqrt(14)) to get

81-14 = 67 which is a rational number.

therefore, the third answer option is correct.

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Answer:

A.

Subtract 37 – 13. Then divide the difference by 4.

Step-by-step explanation:

After the box:

37 - 13 left

No. of bags:

(37 - 13)/4

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zepelin [54]

Answer:

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3 0
3 years ago
Mary looks over reports on four of her workers. jack made 30 baskets in 5 hours. rudy made 32 baskets in 8 hours. sam made 40 ba
Elena L [17]
Well let's do some maths if each made a certain amount of baskets an hour you could divide them and figure out how many baskets were made per hour.
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3 years ago
Kevin can travel 22 1/2 miles in 1/3 hour .What is the average speed in miles per hour?
Fantom [35]
You can choose to answer this with fractions or decimals. I'll choose fractions because we won't need calculators. 22 1/2 miles "in" 1/3 hour, means 22 1/2 mi divided by 1/3 hour.
22 1/2 = [(22×2) + 1] ÷ 2 = 45/2
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8 0
3 years ago
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