I need help... how to simplify this ?

Mathematics

2 answers:

valentina_108 [34]3 years ago

7 0

Answer:

$b^{2} \sqrt{30b}$

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Lunna [17]3 years ago

4 0

Answer:

the answer should be 5.47 if im seeing right the 30 only the b's only the the product or something

Step-by-step explanation:

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nata0808 [166]

This question is far easier to understand if we draw it out. I've included an image attachment to help show the relationships of the measurements. As we can see from the image, their positioning helps form a triangle that we can use the Pythagorean Theorem to find the connection range.
The Theorem is $a^2 + b^2 = c^2$ where a and b are the legs and c is the hypotenuse.

$22^2 + 50^2 = c^2$
$484 + 2500 = c^2$
$2984= c^2$
$\sqrt{2984} = c$
$54.63 = c$
So the answer to the nearest meter is 55 meters.