Question

4 root 3 -root3 =? comment

Answer 1

Answer:

Yes it's answer is 3 root 3 is the right answer...

Answer 2

Answer:The value of  $4\sqrt{3} -\sqrt{3} = 3\sqrt{3}$.

Step-by-step explanation:

Given: We have given $4\sqrt{3} -\sqrt{3}$

To find: We have to solve $4\sqrt{3} -\sqrt{3}$

Explanation:

Step 1:We have given $4\sqrt{3} -\sqrt{3}$. So, on solving we get,

                               ⇒  $4\sqrt{3} -\sqrt{3}$  

Step 2:Take $\sqrt{3}$ as common, we get

                               ⇒  $(4-1)\sqrt{3}$

Step 3:subtracting 1 from 4,we get,

                               ⇒   $3\sqrt{3}$

∴ The value of  $4\sqrt{3} -\sqrt{3} = 3\sqrt{3}$.

Concept:A square root of a number is that part of the number that can be multiplied by itself to get back to the original number. For example, if you take 3 x 3, you get 9. 9 is the square of 3, which makes 3 the square root of 9. Some square roots are easy and obvious, like 2 and 4, while others are more complicated. For example, the number that is multiplied by itself to get to 2 is called an ''irrational'' number, which means there's no neat way to write it, except for its radical form, which is √2.

Subtracting With Like $Radicands:$

A square root consists of three parts:

1)The fractional index

2)Radical, or square root symbol

3)$Radicand$, or the number under the radical symbol

In order to subtract square roots, we must pay attention to their $Radicands$. If the $radicands$ are the same, we can subtract the square roots by combining the terms.

Subtracting With Unlike $Radicands$:

When the square roots are having unlike $radicands$, the first step for us to see if any of the $radicands$ can be factored.When we doing so, be on the lookout for any perfect squares. A perfect square is any number that results from multiplying another number by itself. Therefore,we can simplify our $radicands$ by taking the square roots of any of their perfect square factors.

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