Math, asked by brainypavi, 1 year ago

√10 ×√15 what is it equal to

Answers

Answered by Anonymous
7
It will be equal to under root 150...
Further it is equal to 5× under root 6

It is the property that if two numbers are in identical roots, then we can add, subtract, multiply them...

Hope this helps you. ..
Answered by gayatrikumari99sl
0

Answer:

 \sqrt{10} × \sqrt{15} is equal to 5\sqrt{6}.

Step-by-step explanation:

Explanation:

Given that, \sqrt{10} × \sqrt{15}

\sqrt{10} can be written as \sqrt{2} × \sqrt{5} and

\sqrt{15} can be written as, \sqrt{3} × \sqrt{5}.

Therefore, \sqrt{10} × \sqrt{15} can be written as,

\sqrt{2} ×\sqrt{5} × \sqrt{3} ×\sqrt{5}

Now, as we know, product \sqrt{a}  and \sqrt{a} = a.

Here we can see that there are two \sqrt{5}.

⇒Product of \sqrt{5} and \sqrt{5} = 5.

\sqrt{2} ×\sqrt{5} × \sqrt{3} ×\sqrt{5} = 5 (\sqrt{2} × \sqrt{3} ) = 5\sqrt{6}

Final answer:

Hence,  \sqrt{10} × \sqrt{15} is equal to 5\sqrt{6}.

#SPJ3

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