Simplify the given surd- 2-2a - 3-8a - -2a-

The given surds can be simplified as follows: 2√( 2a ) +3√( 8a ) √( 2a ) =2√( 2a ) +3√( 2× 4a ) √( 2a ) =2√( 2a ) +(3× 2√( 2a ) ) √( 2a ) =2√( 2a ) +6 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard IX

Mathematics

Addition and Subtraction of Surds

Simplify the ...

Question

Simplify the given surd: $2 \sqrt{2 a} + 3 \sqrt{8 a} - \sqrt{2 a}$ .

Open in App

Solution

The given surds can be simplified as follows:
$2 \sqrt{2 a} + 3 \sqrt{8 a} - \sqrt{2 a} = 2 \sqrt{2 a} + 3 \sqrt{2 \times 4 a} - \sqrt{2 a} = 2 \sqrt{2 a} + (3 \times 2 \sqrt{2 a}) - \sqrt{2 a} = 2 \sqrt{2 a} + 6 \sqrt{2 a} - \sqrt{2 a}$
$= \sqrt{2 a} (2 + 6 - 1) = \sqrt{2 a} (8 - 1) = 7 \sqrt{2 a}$

Hence, $2 \sqrt{2 a} + 3 \sqrt{8 a} - \sqrt{2 a} = 7 \sqrt{2 a}$ .

Suggest Corrections

Similar questions

Q. Simplify :

(a^{3} - 2 a^{2} + 4 a - 5) - (- a^{3} - 8 a + 2 a^{2} + 5)

Q. Prove that

{sin}^{8} A - {cos}^{8} A = ({sin}^{2} A - {cos}^{2} A) (1 - 2 {sin}^{2} A {cos}^{2} A)

Simplify the following surds

(1)

(2)

(3)

(4)

Q. Divide:

(6 a^{5} + 8 a^{4} + 8 a^{3} + 2 a^{2} + 26 a + 35)

(2 a^{2} + 3 a + 5)

Answer:

3 a^{3} - 3 a^{2} + a + 7

8 a^{3} - 2 a^{2} b - 15 a b^{2} =

Join BYJU'S Learning Program

Simplify the given surd: 2√2a+3√8a−√2a.

The given surds can be simplified as follows:2√2a+3√8a−√2a=2√2a+3√2×4a−√2a=2√2a+(3×2√2a)−√2a=2√2a+6√2a−√2a=√2a(2+6−1)=√2a(8−1)=7√2a Hence, 2√2a+3√8a−√2a=7√2a.

Simplify the given surd: $2 \sqrt{2 a} + 3 \sqrt{8 a} - \sqrt{2 a}$ .