Answer:
ones, tens,hundreds,ten thousands, hundred thousands,million, tillion
Step-by-step explanation:
ones,tens,hundreds,
We will begin by working through Part (a): Simplify √18
To simplify a square root such as the one above, we must factor out perfect square numbers (this means we must find a number that multiplies to 18 and gives a whole number when we square root it). Using our knowledge that √9 is a perfect square, we should factor out a 9 from 18, as modeled below:
√18 = √(9*2)
We can separate this square root into two square roots multiplied together, as shown below:
√(9*2) = √9 * √2
Now, we should simplify √9, which equals 3, because 3 * 3 = 9.
√9 * √2 = 3 * √2 = 3√2
Therefore, √18 = 3√2.
Now, we can move on to the next problem: √6 * √15.
To begin this problem, we can multiply the square roots together, which means multiplying the numbers under the radical.
√6 * √15 = √(6*15) = √90
To simplify this, we use the same process as above:
√90 = √(10 * 9) = √9 * √10 = 3√10
Note: We know that this fully simplified because we cannot factor out another perfect square number from the number under the radical (10).
Therefore, your two answers are 3√2 and 3√10.
Hope this helps!
Answer:
x = -5
Step-by-step explanation:
Solve for x:
(x + 5)^2 = 0
Take the square root of both sides:
x + 5 = 0
Subtract 5 from both sides:
Answer: x = -5
The other factor of the polynomial is a. 3x2-4x+11
Given polynomial is 3x3 + 20x2 - 21x + 88 and the factor is (x+8)
We need to find another factor using long division method
So,
We will divide the polynomial by the factor to find the another factor
Therefore,
![\sqrt[x+8]{3x^3+20x^2-21x+88}](https://tex.z-dn.net/?f=%5Csqrt%5Bx%2B8%5D%7B3x%5E3%2B20x%5E2-21x%2B88%7D)
Now calculating
First multiplying 
with (x+8) so , will be in the quotient
We get 
simplifying the calculation for 
and
We get the remainder is 
Second we will multiply -4x with (x+8) Where -4x will be in the quotient
We get 
and then we will simplify the equation
We get 11x +88 as a remainder
The quotient we get is 
Third we will multiply +11 with (x+8) Where +11 will be in the quotient
we get 11x+88
Simplifying the equation we get the remainder 0
So the quotient we get is (3x2 - 4x+11)
Hence the another factor of the polynomial is (3x2 - 4x+11)
Learn more about Long division method here
brainly.com/question/22153164
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Answer:
u=11
Step-by-step explanation:
3u - 10 = 20
3u-10+10=20+10 |+10
3u=33 |÷3
3/3*u=33/3
1*u=11
u=11
