Mathematics: What is the simplest form of the radical expression? sqrt 2+ sqrt 5 / sqrt 2 - sqrt 5

What is the simplest form of the radical expression?

Ответ:

johnthecool282

05.06.2020

Mathematics

$-(7+2\sqrt{10})/3$

Step-by-step explanation:

we have

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

we know that

We can rationalize the denominator by multiplying both the numerator and the denominator by the conjugate of the denominator

$\frac{\sqrt{2}+\sqrt{5}}{\sqrt{2}-\sqrt{5}} *\frac{\sqrt{2}+\sqrt{5}}{\sqrt{2}+\sqrt{5}}=( \sqrt{2}+\sqrt{5})^{2}/(2-5)\\ \\=(2+2\sqrt{10}+5)/(-3)\\ \\(7+2\sqrt{10})/(-3)\\ \\=-(7+2\sqrt{10})/3$

0,0(0 оценок)

Ответ:

galaxicorn45

05.06.2020

Mathematics

$\frac{ \sqrt{2} + \sqrt{5} }{ \sqrt{2} - \sqrt{5} }$
= $\frac{ \sqrt{2} + \sqrt{5} }{ \sqrt{2} - \sqrt{5} }$ x √2 - √5
= $\frac{ (\sqrt{2} + \sqrt{5} )(\sqrt{2}- \sqrt{5})}{ 2+5}$
= $\frac{ 2-5 }{ 7}$
= - $\frac{3}{7}$

0,0(0 оценок)

Ответ:

loredohome

14.08.2022

Mathematics

Step-by-step explanation:

0,0(0 оценок)

What is the simplest form of the radical expression? sqrt 2+ sqrt 5 / sqrt 2 - sqrt 5

Ответ:

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question