Express √75 in the form of n√3 , where n is an integer. Using this information, solve the following equation: x√48 = √75 + 3√3 (4 marks)

√75 = 5√3, therefore 

x√48 = √75 + 3√3

x√48 = 5√3 + 3√3

x(√16 x √3) = 5√3 + 3√3

4x√3 = 5√3 + 3√3

4x√3 = (5 + 3)√3

4x√3 = 8√3

x√3 = 2√3

x = 2

AT
Answered by Alex T. Maths tutor

8264 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Prove that the derivative of tan(x) is sec^2(x).


A function is defined by f(x)= e^(x^2+4), all real x. Find inverse of f(x) and its domain.


Given that f(x) = x^2 (3x - 1)^(1/2) find f'(x)


integrate the following: 2x^4 - 4/sqrt(x) +3 with respect to x


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning