Question

(2+2√3) (3-3√7)
simplify the following​

Answer 1

Answer:

Question :

Simplify (2+2√3) (3-3√7)

Solution :

$(2 + 2 \sqrt{3} )(3 - 3 \sqrt{7} )$

$= 2(3 - 3 \sqrt{7} ) + 2 \sqrt{3} (3 - 3 \sqrt{7} )$

$= 6 - 6 \sqrt{7} + 6 \sqrt{3} - 6 \sqrt{21}$

$= \sf \green{6(1 - \sqrt{7} + \sqrt{3}-\sqrt{21} )}$

Answer 2

Given:

The expression -

• (2 + 2√3) (3 - 3√7)

What To Find:

We have to -

• Simplify and find the value of the expression.

Solution:

(2 + 2√3) (3 - 3√7)

Use the property,

⇒ (a + b) (c - d) = a(c - d) + b(c - d)

Where,

• a = 2
• b = 2√3
• c = 3
• d = 3√7

Solve,

⇒ 2(3 - 3√7) + 2√3(3 - 3√7)

Solve 2(3 - 3√7),

⇒ 6 - 6√7 + 2√3(3 - 3√7)

Solve 2√3(3 - 3√7),

⇒ 6 - 6√7 + 6√3 - 6√21

Taking 6 as common,

⇒ 6(1 - √7 + √3 - √21)

Final Answer:

∴ Thus, the answer is 6(1 - √7 + √3 - √21).