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

8270 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

A football is kicked at 30 m/s at an angle of 20° to the horizontal. It travels towards the goal which is 25 m away. The crossbar of the goal is 2.44 m tall. (A) Does the ball go into the goal, hit the crossbar exactly, or go over the top?


What are the parameters of the Poisson distribution?


What is the integral of x^2 + 3x + 7?


How do you differentiate parametric equations?


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