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4 years ago

Combine, and simplify the following radical expressions: √7-5/√7+√8

Mathematics

2 answers:

solmaris [256]4 years ago

7 0

$\frac{\sqrt{7}-5}{\sqrt{7}+\sqrt{8}}$

Rationalize.

$-7+2\sqrt{14}+5\sqrt{7}-10\sqrt{2}$

This can be further simplified to the decimal:

-0.43006...

I hope this helps :)

Svetllana [295]4 years ago

4 0

$\dfrac{\sqrt{7} - 5}{\sqrt{7}+ \sqrt{7} }$

Rationalise the denominator:

$\dfrac{(\sqrt{7} - 5)(\sqrt{7} - \sqrt{8}) }{(\sqrt{7}+ \sqrt{8}) (\sqrt{7} - \sqrt{8}) }$

$= \dfrac{(\sqrt{7})^2 - 5\sqrt{7} + 5\sqrt{8}- \sqrt{7}\sqrt{8} }{7 - 8 }$

$= \dfrac{(7 - 5\sqrt{7} + 10\sqrt{2}- 2\sqrt{14}}{-1 }$

$= -7 + 5\sqrt{7} - 10\sqrt{2} + 2\sqrt{14}$

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Read 2 more answers

Complete the square to rewrite y-x^2-6x+14 in vertex form. then state whether the vertex is a maximum or minimum and give its co

ycow [4]

Answer:

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And solving we have:

$y= x^2 -6x +9 + 14 -9$

$y= (x-3)^2 +5$

And we can write the expression like this:

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The vertex for this case would be:

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And the minimum for the function would be 3 and there is no maximum value for the function

Step-by-step explanation:

For this case we have the following equation given:

$y= x^2 -6x +14$

We can complete the square like this:

$y= x^2 -6x +(\frac{6}{2})^2 +14 -(\frac{6}{2})^2$

And solving we have:

$y= x^2 -6x +9 + 14 -9$

$y= (x-3)^2 +5$

And we can write the expression like this:

$y-5 = (x-3)^2$

The vertex for this case would be:

$V= (3,5)$

And the minimum for the function would be 3 and there is no maximum value for the function

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ipn [44]

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Step-by-step explanation:

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LuckyWell [14K]

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Step-by-step explanation:

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