Question

Combine these radicals
-6 √100+ √36

A. -66
B. -54
C. -6 √136
D. -6 √16

Please help!!

Answer 1

-6√100+√36=-6(10)+6=-60+6=-54

Answer: B. -54

Answer 2

Answer:

option B is correct

-54

Step-by-step explanation:

Using radical and exponent laws:

$\sqrt[n]{a^n} = a$

Given that:

$-6\sqrt{100}+\sqrt{36}$

we can write 100 and 36 as:

$100 = 10 \cdot 10= 10^2$

$36 = 6^2$

then;

$-6\sqrt{10^2}+\sqrt{6^2}$

Apply the rule;

$-6\cdot 10+6$

$-60+6$

Combines constant terms;

$-54$

Therefore, Combine the given radicals we get, -54