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3 years ago

What is the simplified form of the expression 2 radical 18 - 5 radical 32

Mathematics

1 answer:

Alex Ar [27]3 years ago

7 0

Answer:

-14√2

Step-by-step explanation:

Note that 18 = 2*9, and that 9 is a perfect square. Therefore,

2*√18 = 2*3*√2, or 6√2.

Next, note that 32 = 2*16, and that 16 is a perfect square. Therefore,

-5*√32 = -5*√2*√16, or -5*√2*4, or -20√2.

Combining these two results, we get:

6*√2 - 20√2, or -14√2

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Step-by-step explanation:

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3 years ago

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3 years ago

(10.05 LC)

loris [4]

Answer:

Cos x = $\frac{base}{hypotenuse}=\frac{\sqrt{3} }{2}$

Tan x = $\frac{perpendicular}{base} = \frac{1}{\sqrt{3} }$

Step-by-step explanation:

Sin x = $\frac{perpendicular}{hypotenuse} = \frac{1}{2}$

So, Perp = 1 and hyp = 2

Putting this in Pythagorean theorem to get the base

$c^2 = a^2+b^2$

$a^2 = c^2-b^2$

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Taking square root on both sides

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4 years ago