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adoni [48]
3 years ago
8

Why are they not equal? Please explain!!

Mathematics
2 answers:
Paladinen [302]3 years ago
7 0

Answer:

The root of 16 is 4 and the root of 9 is 3.

Step-by-step explanation:

For the first instance, 16+9 is 25 and the root of that is 5. But for the second one, we have to first find the roots. So 4+3 which equals 7. These are obviously not equal. Does this make sense? Hope that helps.

elena-14-01-66 [18.8K]3 years ago
6 0

Answer:

<u>Step 1:  Justify</u>

Solve the first one

<u />\sqrt{16+9} → \sqrt{25}

\sqrt{25} → 5

Solve the second one

\sqrt{16} + \sqrt{9} → \sqrt{4^2} + \sqrt{3^2}

\sqrt{4^2} + \sqrt{3^2} → 4+3

4+3 → 7

So...

5\neq 7

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Answer:

Length of the rectangle is = 8 inches.

Step-by-step explanation:

Given :

Area of square = Area of the rectangle

According to the question:

Length of the square be 'x'.

Its area = (Side)*(Side) =x^2   ...equation (i)

Length of the rectangle = (x+4)

Width of the rectangle = (x-2)

Area of the rectangle =Length * Width

⇒(x+4)(x-2)=x^2-2x+4x-8

⇒x^2+2x-8          ...equation  (ii)

Equating both the equation as area of both the figure are equal.

⇒ x^2+2x-8=x^2

⇒ 2x-8=0     ...subtracting x^2 both sides

⇒ 2x=8           ...dividing both sides with 2

⇒ x=\frac{8}{2}=4 inches

Plugging the value of x=4 in the length of the rectangle.

We have,

⇒(x+4)=(4+4)=8

So the length of the rectangle = 8 inches.

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