Question

one mark questions 1)scientific notation of 102345 is
2) when written with rational denominator, the expression 3√2/2√3 can be simplified as. ​

Answer 1

Answer:

1. 1.02345 x 10^5
2. √6/3

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Answer 2

Answer:

1) 1.02345 x 10⁵

2) √6/2

Step-by-step explanation:

Concept= Scientific Notation and Rationality

Given= A number and an Irrational expression

To Find= Notation and Rational Expression

Explanation=

1) Scientific Notation

 A Scientific notation is way of representing very large numbers or very small numbers with the help of multiple of 10, basically  power of 10. This helps to read the number in a simpler form. For eg- 65000 when denoted in scientific notation will be as follows 6.5 x 10⁴.

Similarly 102345 in scientific notation will be 1.02345 x 10⁵.

2) Expressing 3√2/2√3 with rational denominator and simplified form

    the value of 3√2/2√3 will be

=> (3√2/2√3) * √3/√3    we did this because we needed to get a rational denominator so we simplified it by rationalizing by √3

=> 3√6/2*3

=> √6/2.

So when written with rational denominator the expression 3√2/2√3 can be simplified as √6/2.

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