simplify (√3+√2)(√3-√2)
Answers
Answered by
1
Answer:
ANSWER
We rationalise the denominator of (
3
−
2
3
+
2
) by multiplying its rationalising factor (
3
+
2
) in the numerator and denominator as follows:
3
−
2
3
+
2
×
3
+
2
3
+
2
=
(
3
−
2
)(
3
+
2
)
(
3
+
2
)(
3
+
2
)
=
(
3
)
2
−(
2
)
2
(
3
+
2
)
2
=
3−2
(
3
)
2
+(
2
)
2
+(2×
3
×
2
)
=
1
3+2+2
6
=5+2
6
Hence,
3
−
2
3
+
2
=5+2
6
Answered by
8
Answer:
1
Step-by-step explanation:
( √3 + √2 ) ( √3 - √2 )
( a + b ) ( a - b ) = a² - b²
Here,
a = √3
b = √2
( √3 + √2 ) ( √3 - √2 )
= ( √3 )² - ( √2 )²
= 3 - 2
= 1
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