Question

Evaluate each radical expression for a = 9 and b = 4. Drag the tiles to the correct boxes. Not all tiles will be used. Tiles 3 9 6 36 2 12 Pairs arrowBoth arrowBoth arrowBoth arrowBoth

Answer 1

The values of the expressions are:

(3a)¹ᐟ³ → 3

2√a → 9

2(ab)¹ᐟ² → 12

`2 \sqrt[3]{b} \: \: \: \:→ \: 2`

How radical expressions are evaluated.

Radical expressions involve roots, represented by the radical symbol (√). They express the square root or higher-order roots of numbers.

Given that a = 9 and b = 4

(3a)¹ᐟ³ = (3*9)¹ᐟ³

= (27)¹ᐟ³ = 3³*¹ᐟ³ =3¹ =3

2√a = 2√9

= 2*3 = 9

2(ab)¹ᐟ² = 2(9*4)¹ᐟ²

2(36)¹ᐟ² = 2(6²*¹ᐟ²)

2(6¹) = 2(6) = 12.

`\sqrt[3]{2b}`

`\sqrt[3]{2 * 4} \: \: = \: \sqrt[3]{8}`

= 8¹ᐟ³ = 2³*¹ᐟ³ = 2¹ = 2

Therefore, the values of the expressions are:

(3a)¹ᐟ³ → 3

2√a → 9

2(ab)¹ᐟ² → 12

`2 \sqrt[3]{b} \: \: \:→ \: \: 2`

Complete question