Question

Practising

and Applying
1. Write each radial in simplified form.
a) √48
b) √ 1000

Answer 1

`\Large\boxed{a)~4√(3) }`

`\Large\boxed{b)~10√(10) }`

Explanation:

Question a). √48

Given term

`√(48)`

Factorize 48 inside the radical sign

`√(2*2*2*2*3)`

Combine terms to form squares

`√(2^2*2^2*3)`

Simplify the radical sign

`(2*2)√(3)`

`\Large\boxed{4√(3) }`

Question b) √1000

Given term

`√(1000)`

Factorize 1000 inside the radical sign

`√(2*2*2*5*5*5)`

Combine terms to form squares

`√(2^2*5^2*2*5 )`

Simplify the radical sign

`(2*5)√(2*5)`

`\Large\boxed{10√(10) }`

Hope this helps!! :)

Please let me know if you have any questions