Question

$\tt \sqrt{10 + \sqrt{15} }$
$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tt{is \: equal \:to \: }$​

Answer 1

$\huge{\underline{\mathtt{\red{S}\pink{O}\green{L}\blue{U}\purple{T}\orange{I}\pink{O}\red{N ᭄}}}}$

$\sf{ Solve:\sqrt{10 + \sqrt{15}}}$

$\sf{ \sqrt{10} = 3.16}$

$\sf{ \sqrt{15} = 3.87}$

$\implies\sf{3.16+3.87}$

$\implies\sf{7.03}$

Answer 2

Answer:

$\huge\frak\pink{solution = }$

Exact form: 5√6

Decimal form: 12.24744871...

Step-by-step explanation:

Given Problem:

Simplify:

√10×√15

Solution:

To Do:

Simplify

√10×√15

-----------------

Method:

Combine using the product rule for radicals.

Now,

Multiply  15 by 10

Now,

Rewrite 150 as,

Factor 25 out of 150,

Rewrite 25 as,

Pull terms out from under the radical.

Hence,

Exact form: 5√6

Decimal form: 12.24744871..