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2 years ago

12

The garden club earned $15, 15 per hour by weeding neighborhood gardens for t hours. A generous donor has agreed to double their

earnings.
How much did the garden club earn in all?

1 answer:

natima [27]2 years ago

7 0

Answer:

The answer should be $30.

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Can someone please help with this math question:)

Bingel [31]

<u>Solution</u><u>:</u>

The rationalisation factor for $\frac{1}{ a - \sqrt{b} }$ is $a + \sqrt{b}$

So, let us apply it here.

$\frac{1}{5 - \sqrt{2} }$

The rationalising factor for 5 - √2 is 5 + √2.

Therefore, multiplying and dividing by 5 + √2, we have

$= \frac{1}{5 - \sqrt{2} } \times \frac{5 + \sqrt{2} }{5 + \sqrt{2} } \\ = \frac{5 + \sqrt{2} }{(5 - \sqrt{2})(5 + \sqrt{2} ) } \\ = \frac{5 + \sqrt{2} }{ {(5)}^{2} - ( \sqrt{2})^{2} } \\ = \frac{5 + \sqrt{2} }{25 - 2} \\ = \frac{5 + \sqrt{2} }{23}$

<u>Answer:</u>

<u> $\frac{5 + \sqrt{2} }{23}$ </u>

Hope you could understand.

If you have any query, feel free to ask.

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