Question

Simplify (4+root 7) (3+root 2)

Answer 1

Answer:

(4+√7)(3+√2)

=4(3+√2)+√7(3+√2)

=12+4√2+3√7+√7.√2

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Answer 2

The simplification is $(4+\sqrt7) (3+\sqrt2)=12+4\sqrt2+3\sqrt7+\sqrt{14}$

Step-by-step explanation:

Given : Expression $(4+\sqrt7) (3+\sqrt2)$

To find : Simplify the expression ?

Solution :

Applying algebraic identity, $a(b+c)=ab+ac$

Write the expression as,

$(4+\sqrt7) (3+\sqrt2)=4(3+\sqrt2)+\sqrt7(3+\sqrt2)$

$(4+\sqrt7) (3+\sqrt2)=4\times 3+4\times \sqrt2)+\sqrt7\times 3+\sqrt7\times\sqrt2)$

$(4+\sqrt7) (3+\sqrt2)=12+4\sqrt2+3\sqrt7+\sqrt{14}$

Therefore, the simplification is $(4+\sqrt7) (3+\sqrt2)=12+4\sqrt2+3\sqrt7+\sqrt{14}$

#Learn more

Simplify 4 root 12 - root 50 - 7 root 48

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