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Alborosie
3 years ago
9

How to simplify radical expressions

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
5 0
Hey there!

To simplify radical expressions, refer to the conversion of a radical expression to a number with an exponent:

\sqrt[a]{x} =  x^{\frac{1}{a} }

Remember that if you don't see an index, there is an implied "2" that will go where "a" is. 

Depending on your problem, you could also cancel a radical by raising the entire expression by the second power (only if your index is 2). 

Hope this helped you out! :-)
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{\huge{\underline{\sf{Answer}}}}

<h3>» Ami's mass is \sf \frac{2}{3} the mass of Raphael.</h3>

<u>S</u><u>o</u><u>l</u><u>u</u><u>t</u><u>i</u><u>o</u><u>n</u><u>:</u>

Given that

  • Ami's mass is 72 kg and
  • Raphael's mass is 108 kg.

To write Ami’s mass as a fraction of Raphael's mass, we divide Ami's mass by Raphael's mass. So it is now \sf \frac{72}{108}.

However, there the fraction is not yet in its simplest form, so we have to extract common factors from both the numerator and the denominator:

  • \sf \frac{36 \times 2}{36 \times 3}

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Therefore, Ami's mass is \sf \frac{2}{3} the mass of Raphael.

{\: \:}

{\huge{\underline{\sf{Hope\:It\:Helps}}}}

#PrideOfThePhilippines

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ella [17]

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Now we can us the Pythagorean Theorem to find 'x':

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x=\sqrt{500} ≈ 22.4

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Now let us plug the value of radius in the formula,

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