XOBriley
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PLEASE HELP ME I REALLY NEED IT! WILL GIVE 5 STARS, SAY THANKS AND MARK AS BEST ANSWER FOR THE CORRECT ANSWER!!!!! PLEASE HELP ME I REALLY NEED IT IT IS URGENT.

29. Write three radical expressions that have 4āˆš2s as their simplified form. What do the three expressions have in common, explain.

30. The width of a triangle is s. its length is 3s. How long is a diagonal of the rectangle ? Express your answer in simplified radical form.

Respuesta :

Edufirst
29.

1) āˆš32 = āˆš(16*2) = 4āˆš2

2) āˆš64 / āˆš2 = 8 /āˆš2 = 8 *āˆš2 / (āˆš2 * āˆš2) = 8āˆš2 / 2 = 4āˆš2

3) 2āˆš8Ā  = 2āˆš(4*2) = 2*2 āˆš2 = 4āˆš2

All the original expressions have to content āˆš2, which cannot be simplified.

30. w = s
Ā Ā Ā Ā Ā Ā  l = 3s

diagonal = hypotenuse = h

h ^2 = w^2 + l^2

h^2 = s^2 + (3s)^2 = s^2 + 9s^2 = 10s^2

h = āˆš(10s^2) = sāˆš5

Answer: diagonal = sāˆš5