Q. 169

Add and subtract radical expressions in the following exercises, simplify.

(a) $3 \sqrt{2 a} - 4 \sqrt{2 a} + 5 \sqrt{2 a}$

(b) $5 \sqrt[4]{3 a b} - 3 \sqrt[4]{3 a b} - 2 \sqrt[4]{a b}$

Verified

Answer

The values are-

(a) $4 \sqrt{2 a}$

(b) $0$

1Step 1.Solving for part (a)

We have $3 \sqrt{2 a} - 4 \sqrt{2 a} + 5 \sqrt{2 a}$ .

Combine, because they are like terms.

This will give us,

$= 3 \sqrt{2 a} - 4 \sqrt{2 a} + 5 \sqrt{2 a} = 8 \sqrt{2 a} - 4 \sqrt{2 a} = 4 \sqrt{2 a}$

2Step 2. Solving for part (b)

We have $5 \sqrt[4]{3 a b} - 3 \sqrt[4]{3 a b} - 2 \sqrt[4]{3 a b}$ .

Combine, because they are like terms.

This will give us,

$= 5 \sqrt[4]{3 a b} - 3 \sqrt[4]{3 a b} - 2 \sqrt[4]{3 a b} = 5 \sqrt[4]{3 a b} - 5 \sqrt[4]{3 a b} = 0$