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[tex] \sqrt{2} \div 2 + 2 \div \sqrt{2 } [/tex]
What does it equal to?? ​

Sagot :

Answer:

[tex]\frac{3\sqrt{2} }{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{\sqrt{2} }{2}[/tex] + [tex]\frac{2}{\sqrt{2} }[/tex] ← rationalise the denominator by multiplying by [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex]

= [tex]\frac{\sqrt{2} }{2}[/tex] + ( [tex]\frac{2}{\sqrt{2} }[/tex] × [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex] )

= [tex]\frac{\sqrt{2} }{2}[/tex] + [tex]\frac{2\sqrt{2} }{2}[/tex]

= [tex]\frac{3\sqrt{2} }{2}[/tex]

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