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Eduardwww [97]
3 years ago
14

Simplify 4sqrt(6) / sqrt(30) by rationalizing the denominator.

Mathematics
2 answers:
daser333 [38]3 years ago
8 0
Given question is 4√6/√30
by rationalizing the denominator
4√6x√30/√30x√30
= 4√6x30/√30²
=4x√180/30 (i)
by solving the √180
√180=6√5
putting the value of √180 in (i)
=4x6√5/30
=24√5/30
=4√5/5 is the right answer.
sweet-ann [11.9K]3 years ago
6 0

Answer:

4/\sqrt{5}

Step-by-step explanation:

Given -

4/\sqrt{5}/ ( \sqrt{30} \\= 4/\sqrt{5}/ (\sqrt{6} * \sqrt{5} )\\= 4/\sqrt{5}\\

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The mid-point between the endpoints (10,5) and (6,9) is:

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Step-by-step explanation:

Let (x, y) be the mid-point

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Using the formula to find the mid-point between the endpoints (10,5) and (6,9)

\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)

Here:

\left(x_1,\:y_1\right)=\left(10,\:5\right),\:\left(x_2,\:y_2\right)=\left(6,\:9\right)

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\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)

\left(x,\:y\right)=\left(\frac{6+10}{2},\:\frac{9+5}{2}\right)

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Therefore, the mid-point between the endpoints (10,5) and (6,9) is:

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<h3>Area of a square</h3>

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