Question

square root of 5/405 step by step

Answer 1

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Find the two perfect square roots closest to 405:

20² = 400

21² = 441

Write an equation using this info, with the points as  

( perfect square ,  square root of that perfect square )  :

(  400 ,  20  ) ,  (  441 , 21  )

Make an equation by finding the slope and the y-int:

$\frac{21 - 20}{441 - 400} = \frac {1} {41}\\y = \frac {1} {41}x + b\\20 = \frac {1} {41}. 400 + b\\b = 10.24390\\y = 10.24390x + 10.24390$

Plug in 405 as $x$:

y = 10.24390. 405 + 10.24390 ≈ 20.09

About 20.09

Approximately only, not exact.

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Miley.............................................♥