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.
Each person received one quarter, which can be written as 1/4 or 0.25.
Hello!
Answer:
4- 8, 12, 16, 20, 24 ect keep adding 4
8- 16, 24, 32, 40, 48 ect keep adding 8
Step-by-step explanation:
both- 16, 24, 40, 48
Hope this helps have a good day! <3
Plz mark brainliest when u get the chance!
Heres your answer,
Point L.
Answer:
The least possible quotient is 125.
Step-by-step explanation:
To do this we need to find the greatest 2 digit factor of 10,000.
10,000 = 2*2*2*2*5*5*5*5
So the greatest 2 digit number which will divide exactly into 10,000 is
= 2*2*2*2*5
= 80.
This will give the smallest quotient: 10,000 / 80 = 125.
