Simplify the given surd- 3x-x - 3-x3 - 2-9x3-

The given surds can be simplified as follows: 3x√( x ) +3√( x^ 3 ) 2√( 9x^ 3 ) =3x√( x ) +3√( x^ 2 × x ) 2√( 3^ 2 × x^ 2 × x ) =3x√( x ) +3x√( x ) (2× 3x ...

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: $3 x \sqrt{x} + 3 \sqrt{x^{3}} - 2 \sqrt{9 x^{3}}$ .

Open in App

Solution

The given surds can be simplified as follows:
$3 x \sqrt{x} + 3 \sqrt{x^{3}} - 2 \sqrt{9 x^{3}} = 3 x \sqrt{x} + 3 \sqrt{x^{2} \times x} - 2 \sqrt{3^{2} \times x^{2} \times x} = 3 x \sqrt{x} + 3 x \sqrt{x} - (2 \times 3 x \sqrt{x})$
$= 3 x \sqrt{x} + 3 x \sqrt{x} - 6 x \sqrt{x} = \sqrt{x} (3 x + 3 x - 6 x) = 0 \times \sqrt{x} = 0$

Hence, $3 x \sqrt{x} + 3 \sqrt{x^{3}} - 2 \sqrt{9 x^{3}} = 0$ .

Suggest Corrections

Simplify the given surd: 3x√x+3√x3−2√9x3.

The given surds can be simplified as follows:3x√x+3√x3−2√9x3=3x√x+3√x2×x−2√32×x2×x=3x√x+3x√x−(2×3x√x)=3x√x+3x√x−6x√x=√x(3x+3x−6x)=0×√x=0Hence, 3x√x+3√x3−2√9x3=0.

Simplify the given surd: $3 x \sqrt{x} + 3 \sqrt{x^{3}} - 2 \sqrt{9 x^{3}}$ .