Question

5√6-4√6 is equal to​

Answer 1

Answer:

√6

Step-by-step explanation:

5√6-4√6

√6(5-4)

√6(1) = √6

Answer 2

The value of $5\sqrt{6} -4\sqrt{6}$ is equal to​ $\sqrt{6}$.

Step-by-step explanation:

Given:

$5\sqrt{6} -4\sqrt{6}$.

To Find:

The value of $5\sqrt{6} -4\sqrt{6}$ .

Concept Used:

The number or expression written under a root symbol or radical sign is called a radicand . It is an expression of which we are taking a root.A radical is a symbol  which is used to denote the root of a number. It is represented by √.

The term or expression written below the radical sign is called the radicand. So, it is  said that radical is the symbol of the radicand.

Solution:

As given,$5\sqrt{6} -4\sqrt{6}$.

$5\sqrt{6} -4\sqrt{6}$

Because the given numbers are like radicals and the radicands, The index are the same the subtraction of given numbers can be done as follows.

Subtracting  the like radicals by subtracting their coefficients:

$5\sqrt{6} -4\sqrt{6}= (5-4)\sqrt{6} \\ =1\sqrt{6} \\ =\sqrt{6}$

Thus,the value of $5\sqrt{6} -4\sqrt{6}$ is equal to​ $\sqrt{6}$.

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