Question

Add the given numbers....STEP BY STEP EXPLANATION!!
$\sqrt{90 \: } + \sqrt{10}$

Answer 1

√90+√10

First Prime factorise both the numbers i.e. 90 and 10


So, the outcome will be:-


$\sqrt{90} = \sqrt{3 \times 3 \times 5 \times 2}$

$\sqrt{90} = 3 \sqrt{10}$


$\sqrt{10} = \sqrt{5 \times 2}$


Now
√90 +√10

=3√10+√10

Now, we can write √10 =1√10

When the roots are same, the only thing you need to do is to add the terms before roots


So, 3√10+1√10

=4√10

So, indirectly √90+√10 =4√10

_________________________

$\underline {\bf{mistakes \: that \: we \: usually \: do - }}$


We add up the numbers in one bracket and then prime factorise

like √90+√10 ≠ √90+10

≠√100

≠10


In this way, our answer is wrong.

Always, when two square roots are there, prime facorise first and then add.

Answer 2

Step-by-step explanation:

V90+V10

First Prime factorise both the numbers Le. 90 and 10

So, the outcome will be:

v/90=3/10

Now 90+10

=3v10+10

Now, we can write v10=1/10

When the roots are same, the only thing you need to do is to add the terms before roots

So, 3/1011/10

-4/10

Sa indirectly 90+10-410

mistakes that we usually do

We add up the numbers in one bracket and then prime factorise

like v90+v10 /90+10

=100

#10

In this way, our answer is wrong,

Always, when two square roots are there, prime facorise first and then add.