Question

Simplify :- √10 × √15 = ?

Answer 1

Rewrite −15-15 as −1(15)-115.√−1(15)⋅√10-115⋅10Rewrite √−1(15)-115 as √−1⋅√15-1⋅15.√−1⋅√15⋅√10-1⋅15⋅10Rewrite √−1-1 as ii.i⋅√15⋅√10i⋅15⋅10Multiply ii by √1515 to get i√15i15.i√15⋅√10i15⋅10Multiply i√15i15 by √1010 to get i√15√10i1510.i√15√10i1510Simplify i√15√10i1510.
i√150i150Rewrite 150150 as 52⋅652⋅6.
i√52⋅6i52⋅6Pull terms out from under the radical.i(5√6)i56Simplify the expression.
5i√6

Answer 2

Answer:

=> 12.24

Step-by-step explanation:

Given that:-

$\sqrt{10}\times \sqrt{15}$

To find:- The value of the expression,

As the sign indicates that,

We have to multiply $\sqrt{10}\times \sqrt{15}$,

It is one of the methods used in DMAS,

Now, by performing multiplication for the numbers under the square roots:

=> $\sqrt{10}\times \sqrt{15}$

By further simplifying it, we get

=> 3.161227766 $\times$ 3.872983346

=> 12.24338246739288496 ≈ $12.24$

Hence, the value of the expression is 12.24