How do you evaluate -3\sqrt { 7} \cdot 5\sqrt { 7} - \sqrt { 8- ( 2^6\div 2^ { 4} ) }?

1 Answer
Veddesh phi
Oct 29, 2017

-107

Explanation:

color(blue)(-3sqrt7*5sqrt7-sqrt(8-(2^6-:2^4))

Lets solve the right part

When we divide color(brown)(x^y-:x^z, we get color(green)(x^(y-z)

So,

rarr-3sqrt7*5sqrt7-sqrt(8-(2^(6-4)))

rarr-3sqrt7*5sqrt7-sqrt(8-(2^(2)))

rarr-3sqrt7*5sqrt7-sqrt(8-4)

rarr-3sqrt7*5sqrt7-sqrt(4)

rarr-3sqrt7*5sqrt7-2

When we multiply two numbers with radical signs, we multiply the first numbers and then multiply it with the product of the numbers in the radical sign

rarr(-3)(5)(sqrt7)(sqrt7)-2

rarr-15*7-4

rarr-105-2

color(green)(rArr-107

Hope this helps!!! ☻☺

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