Question

simplify (√ 3 + 7) (6 + √3)​

Answer 1

ANSWER:

• THE VALUE OF ABOVE EQUATION = 45 + 13√3

GIVEN:

• (√3+7)(6+√3)

TO FIND:

• The Value of above equation.

SOLUTION:

= (√3+7)(6+√3)

= √3(6+√3) +7(6+√3)

= 6√3 +3 +42+7√3

= 45 + 13√3

THE VALUE OF ABOVE EQUATION = 45 + 13√3

NOTE:

Some more questions (formula related)

=(3+√7)(3-√7)

= (3)²-(√7)²

= 9-7

=2

= (√2+√3)²

= (√2)²+(√3)²+2(√2)(√3)

= 2+3+2√6

= 5+2√6

• (a+b)² = a²+b²+2ab
• (a+b)(a-b) = a²-b²

Answer 2

Answer:

45 + 13√3

Solution:

We have ;

(√3 + 7)(6 + √3)

Now,

Using distributive law over addition ,

We get ;

√3(6 + √3) + 7(6 + √3)

Again,

Using distributive law over addition ,

We get ;

=> √3•6 + √3•√3 + 7•6 + 7•√3

=> 6√3 + 3 + 42 + 7√3

=> (3 + 42) + (6√3 + 7√3)

=> 45 + 13√3

Hence,

The required answer is :

45 + 13√3