Question

rationalize 1/√7 and 1/√2 and 1/√5​

Answer 1

Step-by-step explanation:

$\frac{1}{ \sqrt{7} } \times \frac{ \sqrt{7} }{ \sqrt{7} }$

$\frac{ \sqrt{7} }{7}$

$\frac{1}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } \\ \frac{ \sqrt{2} }{2}$

$\frac{1}{ \sqrt{5} } \times \frac{ \sqrt{5} }{ \sqrt{5} } \\ \frac{ \sqrt{5} }{5}$

Answer 2

Answer:

• Rationalize 1/√7 and 1/√2 and 1/√5.

Calculation:

1)

$\sf = \dfrac{1}{\sqrt{7}}$

$\sf = \dfrac{1}{\sqrt{7}} \times \dfrac{\sqrt{7}}{\sqrt{7}}$

$\sf = \dfrac{\sqrt{7}}{(\sqrt{7}})^2$

${\sf{\underline{\boxed{\green{\sf{= \dfrac{\sqrt{7}}{7} }}}}}}$

2)

$\sf = \dfrac{1}{\sqrt{2}}$

$\sf = \dfrac{1}{\sqrt{2}} \times \dfrac{\sqrt{2}}{\sqrt{2}}$

$\sf = \dfrac{\sqrt{2}}{(\sqrt{2}})^2$

${\sf{\underline{\boxed{\green{\sf{= \dfrac{\sqrt{2}}{2} }}}}}}$

3)

$\sf = \dfrac{1}{\sqrt{5}}$

$\sf = \dfrac{1}{\sqrt{5}} \times \dfrac{\sqrt{5}}{\sqrt{5}}$

$\sf = \dfrac{\sqrt{5}}{(\sqrt{5}})^2$

${\sf{\underline{\boxed{\green{\sf{= \dfrac{\sqrt{5}}{5} }}}}}}$

That's the answer!