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3 years ago

Which choice is equivalent to the expression below? Square root of -18

Mathematics

2 answers:

Ilia_Sergeevich [38]3 years ago

8 0

Answer:

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

and $\sqrt{-1}$ = i

Given

$\sqrt{-18}$

= $\sqrt{9(2)(-1)}$

= $\sqrt{9}$ × $\sqrt{2}$ × $\sqrt{-1}$

= 3 × $\sqrt{2}$ × i

= 3i $\sqrt{2}$ → C

11111nata11111 [884]3 years ago

5 0

Step-by-step answer:

sqrt(-18)

= sqrt((-1)*(9)*(2)

= sqrt((-1))*sqrt(9)*sqrt(2)

= i*3*sqrt(2)

=3i*sqrt(2)

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Answer(a):

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Order of matrix B = 3x3

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So 3A+B is possible.

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$3\begin{bmatrix}2 & -1& 0\\ 0 & 5& 0.3\\ 1 & 4&10 \end{bmatrix}+\begin{bmatrix}5 & 0& 2\\ 1 & -3& 9\\ 2 & 0& 4\end{bmatrix}= \begin{bmatrix}11 & -3& 2\\ 1 & 12& 9.9\\ 5 & 12& 34\end{bmatrix}$

Answer(b):

2B will be of order 3x3 because multiply by scalar doesn't change the order. Which is NOT same as the order of matrix C.

So 2B+C is NOT possible.

Answer(c):

CA is possible only if

number of columns of C = number of columns of A

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which is true hence CA is possible.

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<em><u>If the matrix is not visible properly then look at the attached picture.</u></em>

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