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 2 6 36 12 9 3

Answer 1

To evaluate the given radical expressions, substitute the values of a = 9 and b = 4 into each expression and simplify.

Step-by-step explanation:

To evaluate each radical expression, we substitute the given values of a and b into the expressions. The expressions are:

'2sqrt(a)', '6sqrt(b)', 'sqrt(a^2)', 'sqrt(b^2)', 'sqrt(a) + sqrt(b)', 'sqrt(a) - sqrt(b)'

Substituting a = 9 and b = 4 into each expression:

'2sqrt(9) = 6', '6sqrt(4) = 12', 'sqrt(9^2) = sqrt(81) = 9', 'sqrt(4^2) = sqrt(16) = 4', 'sqrt(9) + sqrt(4) = 3 + 2 = 5', 'sqrt(9) - sqrt(4) = 3 - 2 = 1'

Answer 2

Each radical expression should be matched with its output value as follows;

`3a)^{(1)/(3) }` ↔ 3.

`2√(a)` ↔ 6.

`(2ab)^{(1)/(2) }` ↔ 6\sqrt{2}

`\sqrt[3]{2b}` ↔ 2.

In Mathematics and Euclidean Geometry, an exponent can be represented or modeled by this mathematical expression;

`b^n`

Where:

• n is known as a superscript or power.
• the variables b and n are numbers (numerical values), letters, or an algebraic expression.

Based on the information provided, we can logically deduce the following;

`(3a)^{(1)/(3) }\\\\(3 * 9)^{(1)/(3) }\\\\(27)^{(1)/(3) }\\\\\sqrt[3]{27} =3\\\\\\\\2√(a) =2√(9)\\\\2√(a) =2 * 3\\\\2√(a) =6\\\\\\\\(2ab)^{(1)/(2) }=√(2ab) \\\\(2ab)^{(1)/(2) }=√(2 * 9 * 4)\\\\(2ab)^{(1)/(2) }=√(72)\\\\(2ab)^{(1)/(2) }=6√(2)\\\\\\\\\sqrt[3]{2b} =\sqrt[3]{2 * 4} \\\\\sqrt[3]{2b} =\sqrt[3]{8} \\\\\sqrt[3]{2b} =2`

Complete Question:

Evaluate each radical expression for a = 9 and b = 4.