Express

Mathematics

1 answer:

krok68 [10]3 years ago

4 0

Answer:

$\frac{15}{9} (7 + 2 \sqrt{10} )$

Step-by-step explanation:

The solution is in the picture

At line 7, the denominator of the expression contains irrational number (which is surd 10). This shows that the expression is not simplified

At line 8 of my solution, multiply both numerator and denominator by the conjugate of

$7 - 2 \sqrt{10}$

which is

$7 + 2 \sqrt{10}$

in order to eliminate irrational number at denominator

More info of conjugate

The conjugate of a+b is a-b,

Why conjugate? Try it yourself!

Hint: (a+b)(a-b) = a^2 - b^2

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What is the simplified form of 30 times x to the sixth power over 14 times y to the fifth power times the fraction 7 times y-squ

Sonbull [250]

If we convert the given in its mathematical form, we have,

(30x⁶/14y⁵)(7y²/6x⁴)
It can be observed that the numerator of the first and the denominator of the second have a common factor of 6x⁴. Also, the denominator of the first and the numerator of the second expression have a common factor of 7y².

((6x⁴)(5x²)/(7y²)(2y³))(7y²/6x⁴)

Cancellation of the common terms will give us an answer of,

5x²/2y³

Therefore, the simplified version of the involved operation is 5x²/2y³.

6 0

3 years ago

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Komok [63]

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3 years ago

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laila [671]

Answer:

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Step-by-step explanation: