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2 years ago

Real number root for V-49

Mathematics

1 answer:

Sauron [17]2 years ago

5 0

Step-by-step explanation:

there is no real number solution for the square root of a negative number.

a sqare root multiplied by itself had to deliver exactly the number inside the square root.

so for sqrt(-49), what can be the answer ?

which number multiplied by itself gives -49 ?

it any negative number at that.

because

a × a = a²

and

-a × -a = a² but definitely not -a².

we get a negative number only, when we multiply a positive number with a negative number or vice versa.

the only solution is complex or imaginary (based on the imaginary number i):

i² = -1

i = sqrt(-1)

so, sqrt(-49) = sqrt(49 × -1) = 7×sqrt(-1) = 7i

but again, no real solution.

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To find the surface area of this pyramid, we must find the area of one triangle flap which we then multiply by 4 because there are 4 of those equal triangle flaps surrounding the base(square). Once we find the area of those triangles, we then find the base(square)'s area. Next, we add all those areas together to get the result of the surface area.

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Where 'B' represents the base, 'H' represents the height, and 1/2 is just dividing the product of those two lengths by 2.

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Now we find the area of the base(square) using the formula;

(vol of square formula)
A = $s^{2}$

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A = l · w

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Plug in what you know, given that one side of the square is 4 inches (as well as the length and width).

(I'll be using the formula $s^{2}$ )

A = $s^{2}$

A = 4^2 ← (The symbol ' ^ ' means raised to the power of.)

A = 16, the area of the base(square) is 16 inches.

Now we add both areas together:-

48 + 16

= 64 inches^2 is the surface area, your answer is A.

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