Question

6 divided by 3 root 2 minus 2 root 3 equals 3 root two minus A root 3. find A

Answer 1

Answer:

The final answer is -2

Step-by-step explanation:

Given : 6 divided by 3 root 2 minus 2 root 3 equals 3 root two minus A root 3.

To Find : The value of A.

Explanation :

When a number is multiplied by itself then we get the square number and set it up as a full equation n*n = x, the two numbers are either both positive or negative but they should be the same number.

So, according to this method, the solution of this problem is

$\begin{aligned}&6(3 \sqrt{2}+2 \sqrt{3}) \\&(3 \sqrt{2}-2 \sqrt{3})(3 \sqrt{2}+2 \sqrt{3})=3 \sqrt{2}-a \sqrt{3} \\&\frac{18 \sqrt{2}+12 \sqrt{3}}{18-12}=3 \sqrt{2}-a \sqrt{2} a \\&\frac{18 \sqrt{2}+12 \sqrt{3}}{6}=3 \sqrt{2}-a \sqrt{23} \\&6(3 \sqrt{2}+2 \sqrt{3})=3 \sqrt{2}-a \sqrt{23} \\&6 \quad a \sqrt{3}=2 \sqrt{3} \\&-a=2 \\&a=-2\end{aligned}$

The answer is -2

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Answer 2

Concept:

Both rational and irrational numbers are real, yet they differ in terms of some characteristics. A rational number is one that can be written as P/Q, where P and Q are both integers and Q is greater than zero. However, an irrational number cannot be expressed using straightforward fractions. An illustration of a rational number is 2/3, while an irrational number is √2.

Given :

6 divided by 3 root 2 minus 2 root 3 equals 3 root two minus A root 3.

Find :

The value of A.

Solution:

Multiplying (3√2+2√3) on numerator and denominator,

=6(3√2+2√3)/((3√2-2√3)(3√2+2√3))

=6(3√2+2√3)/18-12

=(3√2+2√3)

On comparing with, (3√2-a√3)

we get a=-2

Therefore, a=-2

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