simplefy the root (4+√3)(7+√2)
Answers
Answer:
7
)(3+
2
)=12+4
2
+3
7
+
14
Step-by-step explanation:
Given : Expression (4+\sqrt7) (3+\sqrt2)(4+
7
)(3+
2
)
To find : Simplify the expression ?
Solution :
Applying algebraic identity, a(b+c)=ab+aca(b+c)=ab+ac
Write the expression as,
(4+\sqrt7) (3+\sqrt2)=4(3+\sqrt2)+\sqrt7(3+\sqrt2)(4+
7
)(3+
2
)=4(3+
2
)+
7
(3+
2
)
(4+\sqrt7) (3+\sqrt2)=4\times 3+4\times \sqrt2)+\sqrt7\times 3+\sqrt7\times\sqrt2)(4+
7
)(3+
2
)=4×3+4×
2
)+
7
×3+
7
×
2
)
(4+\sqrt7) (3+\sqrt2)=12+4\sqrt2+3\sqrt7+\sqrt{14}(4+
7
)(3+
2
)=12+4
2
+3
7
+
14
Therefore, the simplification is (4+\sqrt7) (3+\sqrt2)=12+4\sqrt2+3\sqrt7+\sqrt{14}(4+
7
)(3+
2
)=12+4
2
+3
7
+
14
Step-by-step explanation:
hope u explained
Answer:
28+4√2+7√3+√6
Step-by-step explanation:
(4+√3)(7+√2)
=> (4*7)+(4*√2)+(√3*7)+(√3*√2)
=> 28+4√2+7√3+√6