Question

100 POINTS PLZ HELPPP Drag each tile to the correct box. Arrange the expressions in increasing order of their estimated values.

Answer 1

`(√(24)- √(54) )/(√(6))` = -1

`\sqrt{(9)/(20)`*
`(10√(2) )/(3√(5) )` = 1.4142

`(10\pi√(2)-8\pi√(2))/(2√(2))` = π =3.14159

`\pi\sqrt{(5)/(3)}\cdot\pi\sqrt{(3)/(5)}` = π² = 9.8696

Step-by-step explanation:

1.) Rewrite √24 =
`√(4*6) = 2√(6)` Rewrite √54 =
`√(9*6)= 3√(6)`

Divide both terms by the denominator; √6 cancels. 2-3 = -1

2.) Rewrite as
`(3)/(2√(5))` ×
`(10√(2))/(3√(5))` The 3's cancel. 10/2 = 5√2 in the numerator.

√5 × √5 = 5 in the denominator. The 5's cancel.

That leaves √2 ≈1.4142

3.) Divide the terms in the numerator by the term in the denominator.

√2's cancel. 10π/2 = 5π 8π/2 = 4π

Subtract and we are left with π = 3.14159

4.)
`\pi\sqrt{(5)/(3)}\cdot\pi\sqrt{(3)/(5)}` The square roots are reciprocals. They multiply to 1

We are left with π × π = π² ≈ 9.8696

Answer 2

It goes...The second one, fourth one, First one, then the third one

Step-by-step explanation:

I took the test a while ago