2 1/3√[2 5/6√{1 1/2√(3 1/2×2 2/3-1 1/6)}]
Answers
Answer:
To multiply two single-term radical expressions, multiply the coefficients and multiply the radicands. If possible, simplify the result.
Apply the distributive property when multiplying radical expressions with multiple terms. Then simplify and combine all like radicals.
Multiplying a two-term radical expression involving square roots by its conjugate results in a rational expression.
It is common practice to write radical expressions without radicals in the denominator. The process of finding such an equivalent expression is called rationalizing the denominator.
If an expression has one term in the denominator involving a radical, then rationalize it by multiplying numerator and denominator by the nth root of factors of the radicand so that their powers equal the index.
If a radical expression has two terms in the denominator involving square roots, then rationalize it by multiplying the numerator and denominator by its conjugate.
This is the basic information for solving these radicals. These notes are really helpful. I hope it helps. Please mark me as brainliest.
Answer:
Simplify:
1+
2
1
+
2
+
3
1
+
3
+
5
2
Medium
Answer
We have,
1+
2
1
+
2
+
3
1
+
3
+
5
2
=
1+
2
1
×
1−
2
1−
2
+
2
+
3
1
×
2
−
3
2
−
3
+
3
+
5
2
×
3
−
5
3
−
5
=
1−2
1−
2
+
2−3
2
−
3
+
3−5
2(
3
−
5
)
=
−1
1−
2
+
−1
2
−
3
+
−2
2(
3
−
5
)
=−1+
2
−
2
+
3
−
3
+
5
=
5
−1
Hence, the value of expression is
5
−1.