Question

What is the square root of 32-square root50?

Answer 1

`-sqrt2`

Explanation:

`"using the "color(blue)"law of radicals"`

`•color(white)(x)sqrtaxxsqrtbhArrsqrt(ab)`

`rArrsqrt32=sqrt(16xx2)=sqrt16xxsqrt2=4sqrt2`

`rArrsqrt50=sqrt(25xx2)=sqrt25xxsqrt2=5sqrt2`

`rArrsqrt32-sqrt50=4sqrt2-5sqrt2=-sqrt2`