Simplify square root of 3 times square root of 21
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Step-by-step explanation: To multiply the square root of 3 times the square root of 21, we simply multiply the numbers that are inside the square roots together.
So, root 21 × root 3 equals root 63.
Next, we simplify the square root of 63. 63 factors as 3 x 21 and 21 factors as 3 x 7. So we have a pair of 3's which means a 3 can come out of the radical and the 7 doesn't pair up stays in the radical so our final answer is .
3√7 is the simplified value of the given expression.
To simplify the expression √3 * √21, we can combine the square roots and simplify under one radical if possible.
√3 * √21 = √(3 * 21)
Simplifying the product inside the radical:
√(3 * 21) = √63
Now, we can simplify further by factoring 63 into its prime factors:
√(3 * 21) = √(3 * 3 * 7)
Taking the square root of each factor:
√(3 * 3 * 7) = √3 * √3 * √7 = 3 * √7
Therefore, √3 * √21 simplifies to 3√7.
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A computer repair ball was $225.This included $75 for parts and $50 for each hour labor.Make sure to write and solve an equation.
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The answer for this question is option C.
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2x^2-4x-3x+6
(2x^2-4x)+(-3x+6)
undistribute
(2x)(x-2)+(-3)(x-2)
undistribute
(2x-3)(x-2)
the factored form of 2x² - 7x + 6 is (2x - 3)(x - 2).
To find the factored form of the quadratic expression 2x² - 7x + 6, we can look for two binomials that, when multiplied, give us the original expression.
First, we need to determine two numbers that multiply to give 12 (the product of the leading coefficient, 2, and the constant term, 6) and add up to -7 (the coefficient of the linear term, -7).
The numbers -4 and -3 fit these conditions.
Now, we can express the quadratic expression in factored form:
2x² - 7x + 6 = (2x - 3)(x - 2)
Therefore, the factored form of 2x² - 7x + 6 is (2x - 3)(x - 2).
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Answers
Answer:
The correct statement is Aprimenumberarenumberswhichhaveonlytwofactor.
Explanation:
Hope it helps you..
Your welcome in advance..
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Answer:
A prime number is one which can be divided only by itself
please give brainliest
Answers
Answer:
If I do not like math, then I do not like science
Step-by-step explanation:
we know that
To find the inverse of a conditional, negating both the hypothesis and conclusion of a conditional statement
In this problem we have
"If I like math, then I like science"
therefore
the inverse is
If I do not like math, then I do not like science
5×3−8÷2×3
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Answer:
Use PEMDAS
Step-by-step explanation:
answer is 7/6 i think
i am not 100% sure
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This is seriously so long I'm not sure it will even fit on a single line. The formula for the derivative using the limiting process is . And of course this is a problem because if h approaches 0, we would have a 0 in the denominator of that fraction and that is definitely not allowed! Every x in the function will be replaced with (x+h) to give us this:
. When we expand that we will get this very long numerator (I'm purposely leaving out the limit as h approaches 0 part to save space):
. Simplifying that leaves us with this:
. We have a lot of terms that cancel each other out so when we do that we are left with
. That is one of your choices for answers, the third one down on the left to be specific. Now we can factor out an h:
. That h on the top outside the parenthesis cancels with the h on the bottom. Now, as h approaches 0 we have no problems! Yay! That means when we now replace h with 0, we have this:
, or simplified we have
which is also a choice for your answers, top one on the right. Those are your 2 answers for that dertivative. It's much simpler when you learn the rules!