Question

what is product of root 10 and root 15

Answer 1

$\displaystyle\text{Product means \underline{multiplication}}\\\therefore \sqrt{10} \times \sqrt{15} \\=\sqrt{150}\\=\sqrt{5 \times 5 \times 2 \times 3}\\=\sqrt{5^2 \times 6}\\=\boxed{\boxed{5\sqrt{6}}} \\\\\text{ @duragpal singh}$

Answer 2

Given:

√10, √15

To find:

The product of √10 and √15

Solution:

The required product is 5√6.

We can calculate the product by multiplying the given roots.

So, we will multiply the given terms as follows-

The required product=√10× √15

On writing the terms as a product of their factors, we get
√10=√2×√5

√15=√3×√5

Using the values,

The required product=√2×√5×√3×√5

Now, √5×√5=5.

=√2×√3×5

=5×√6

=5√6

Therefore, the required product is 5√6.