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3 years ago

Simplify the radical expression

Mathematics

1 answer:

iris [78.8K]3 years ago

5 0

Answer:

Step-by-step explanation:

$\sqrt[4]{625x^{12}y^{8}}=\sqrt[4]{5*5*5*5*x^{3*4}y^{2*4}}\\\\ =\sqrt[4]{5^{4}*(x^{3})^{4}*(y^{2})^{4}}\\\\ =5*x^{3}*y^{2}\\\\=5x^{3}y^{2}$

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19. A quadratic equation is shown below.

victus00 [196]

Answer:

$\{\sqrt b, -\sqrt b\}$

Step-by-step explanation:

Given

$a^2 - b = 0$

Required

Determine the solution

Since b is a perfect square, the equation can be expressed as:

$a^2 - (\sqrt b)^2 = 0$

Apply difference of two squares:

$(a - \sqrt b)(a + \sqrt b) = 0$

Split:

$(a - \sqrt b)= 0 \ or\ (a + \sqrt b) = 0$

Remove brackets:

$a - \sqrt b= 0 \ or\ a + \sqrt b = 0$

Make a the subject in both equations

$a =\sqrt b \ or\ a =-\sqrt b$

The solution can be represented as:

$\{\sqrt b, -\sqrt b\}$

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3 years ago

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sergey [27]

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3 years ago

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allochka39001 [22]

Step-by-step explanation:

<u>Statement Reason </u>

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Flauer [41]

Use the diamond box method.

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3 years ago

Please help & explain! 45 points :)

jek_recluse [69]

Hello there,

the answer you are looking for will be
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