Simplify the squareroot of (12)

1 answer:

8 0

√12

First find the highest perfect square that can go into it.
1, 4, 9, 16
The highest square is 4 (2^2)

To take out 4 from √12, put the root of four multiplied by the root of the quotient of 12 and 4 (the quotient of 12 and 4 should become the radicand).

Final answer: 2√3

You might be interested in

Spencer has two tapes of different color for decoration. His red tape measures 5/6 of a yard, and his green tape measures 1/3 of

Lady_Fox [76]

Given from the question
first fraction = 5/6
second fraction = 1/3

We're asked what's the difference between the fraction

First, we need to equalize the denominator to the same number. The first denominator is 6, the second denominator is 3. I'd like to make them both 6. So the second denominator needs to be multiplied by 2, so does the numerator
second fraction = 1/3
second fraction = (1 × 2)/(3 × 2)
second fraction = 2/6

Second, we have new fractions which have the same denominator. Calculate the difference
d = first fraction - second fraction
d = 5/6 - 2/6
d = 3/6

The red tape is 3/6 yard more than the green tape.

6 0

4 years ago

The function D(t) defines a traveler's distance from home, in miles, as a function of time, in hours. D(t) = StartLayout enlarge

nalin [4]

- At 2 hours, the traveler is 725 miles from home.

- At 3 hours, the distance is constant, at 880 miles. --> TRUE.

- The total distance from home after 6 hours is 1,062.5 miles --> TRUE.

Step-by-step explanation:

The function D(t) is defined as follows:

$D(t) = 300t+125$ for $t< 2.5$

$D(t) = 880$ for $2.5 \leq 3.5$

$D(t) = 75t+612.5$ for $t\leq 6$

Where

t is the time in hours

D(t) is the distance covered, in miles, after t hours

Now let's analyze the different statements:

- The starting distance, at 0 hours, is 300 miles. --> FALSE. In fact, if we substitute t = 0 into the 1st equation, we get

$D(0) = (300)(0)+125 = 125$

So, the distance at t = 0 is 125 miles.

- At 2 hours, the traveler is 725 miles from home. --> TRUE. In fact, if we substitute t = 2 into the 1st equation,

$D(2) = (300)(2)+125 = 725$

- At 2.5 hours, the traveler is 875 miles from home. --> FALSE. In fact, for t=2.5 we have to use the 2nd equation, which states that the distance is:

D(t) = 880

So, not 875 miles.

- At 3 hours, the distance is constant, at 880 miles. --> TRUE. This is clearly visible from the 2nd equation: for t between 2.5 and 3.5 (so, in this case), the distance is

D(t) = 880

- The total distance from home after 6 hours is 1,062.5 miles --> TRUE. In fact, if we replace t = 6 into the last equation,

$D(6)) = 75(6)+612.5=1062.5$