Question

$5 \sqrt{7 + \sqrt{7} }$
simplify... this

​

Answer 1

Answer:

$\sqrt{175 + 25 \sqrt{7} }$

Step-by-step explanation:

ATQ,

$5 \sqrt{7 + \sqrt{7} }$

We can represent 5 as its square inside the root

$\sqrt{25(7 + \sqrt{7} )}$

Opening the brackets

$\sqrt{175 + 25 \sqrt{7} }$

This is as far as we can simplify this equation since numbers with differing radicals cannot be combined

Answer 2

From the given question the correct answer is:

$5\sqrt{7+\sqrt{7} }$

Solution

We can represent 5 as its square inside the root

$\sqrt{25(7+\sqrt{7} )}$

Opening the brackets

$\sqrt{175+25\sqrt{7} }$

This is as far as we can simplify this equation since numbers with differing radicals cannot be combined

so the answer is $\sqrt{175+25\sqrt{7} }$