Question

Root6-root 5/root 6+root 5

Answer 1

Answer:

11/61

Step-by-step explanation:

Root off 6 = 36

Root of 5 = 25

6² - 5²

6² + 5²

= 36 - 25

36 + 25

= 11/61

Hope this is helpful to you

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Answer 2

Answer:

$\mathtt\blue{✥Question:-}$

$\mathtt{ \frac{ \sqrt{6} - \sqrt{5} }{ \sqrt{6} + \sqrt{5} } }$

$\mathtt\blue{✥Concept \: used:-}$

Rationalising the denominator

$\mathtt\blue{✥formula \: used:-}$

$\mathtt{{(a - b)}^{2} = {a}^{2} - 2ab + {b}^{2} }$

$\mathtt{ (a + b)(a - b) = {a}^{2} - {b}^{2} }$

$\mathtt\blue{✥Solution:-}$

$\mathtt{= \frac{ \sqrt{6} - \sqrt{5} }{ \sqrt{6} + \sqrt{5} } \times { \frac{ \sqrt{6} - \sqrt{5} }{ \sqrt{6} - \sqrt{5} } } }$

$\mathtt{ = \frac{ (\sqrt{6} - \sqrt{5)^{2} } }{ (\sqrt{6)^{2} } - { (\sqrt{5} )}^{2} } }$

$\mathtt{ = \frac{ { (\sqrt{6)} }^{2} - 2 \times \sqrt{6} \times \sqrt{5} + { (\sqrt{5)} }^{2} }{{6 - 5} } }{}$

$\mathtt{ = \frac{6 - 2 \sqrt{30} + 5}{1} }$

$\mathtt \blue{ = 6 - 2 \sqrt{30} + 5 }$

Step-by-step explanation:

I hope this helps you mate.