Respuesta :

shreyasingh85

Answer:

[tex] \frac{5}{2 \sqrt{2} } \\ = \frac{5}{ 2 \sqrt{2} } \times \frac{2 \sqrt{2} }{2 \sqrt{2} } \\ = \frac{5(2 \sqrt{2}) }{(2 \sqrt{2} )(2 \sqrt{2}) } \\ = \frac{10 \sqrt{2} }{(2 \sqrt{2} {)}^{2} } \\ = \frac{10 \sqrt{2} }{4 \sqrt{( {2)}^{2} } } \\ = \frac{10 \sqrt{2} }{4 \sqrt{2 \times 2} } \\ = \frac{10 \sqrt{2} }{4(2)} \\ = \frac{ \cancel{10} \sqrt{2} }{ \cancel8} \\ = \frac{5 \sqrt{2} }{4} answer.[/tex]

Eduard22sly

When we rationalise the expression 5 / 2√2, the result obtained is 5√2 / 4

Surd operation

a / √b  = (a / √b) × (√b / √b)

How to rationalise the expression 5 / 2√2

  • Expression = 5 / 2√2
  • Rationalisation =?

5 / 2√2 = (5 / 2√2) × (√2 / √2)

Clear bracket

5 / 2√2 = 5√2 / (2×2)

Simplify

5 / 2√2 = 5√2 / 4

Thus, we can conclude that the value of 5 / 2√2 is equivalent to 5√2 / 4

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