Question

Multiply (5+root 3) (1+2 root 3). ​

Answer 1

Answer:

5√3 × 1+2 √ 3

5√3 × 3 √3

15 √3

Answer 2

Answer:

The answer to the given question is the product of two expressions

$11(1 + \sqrt{3} )$

Step-by-step explanation:

Given :

$(5 + \sqrt{3} )(1 + 2 \sqrt{3} )$

To find :

product of these two expressions.

Solution :

we have to find the product of the given two expressions.

The expressions are

$(5 + \sqrt{3} )(1 + 2 \sqrt{3)} )$

First, we have to multiply 5 in the first expression with the second expression.

$5 \: and \: (1 + 2 \sqrt{3} )$

On multiplying, we get the values as

$5 + 10 \sqrt{3}$

then we have to multiply √3 in the first expression with the second expression.

$\sqrt{3} \: and \: (1 + 2 \sqrt{3} )$

on multiplying, we get the values as

$\sqrt{3} + 2 \times \sqrt{3} \times \sqrt{3 } \\ \sqrt{3} + (2) \times (3) \\ \sqrt{3} + 6$

on adding the values obtained on multiplication, we get the answer as

$5 + 10 \sqrt{3} + \sqrt{3} + 6 \\ 11 + 11 \sqrt{3}$

Taking 11 as common, we get the value as

$11(1 + \sqrt{3} )$

The final value obtained is 11(1+√3).

Therefore, the final answer to the given question is the product of

$(5 + \sqrt{3} )(1 + 2 \sqrt{3} ) = 11(1 + \sqrt{3} )$

# spj5