Expand and simplify (3 + √ 2)(5 – √ 2)

To complete this question we can use the FOIL method.

First we can multiply out the First number in each of the brackets - 3x5=15

Then we multiply the Outer numbers in each bracket - 3x-√ 2=-3√ 2

Then the Inner numbers - √ 2x5=5√ 2

And finally the Last number in each bracket - √ 2x-√ 2=-2 as a square root times a square root is just the number.

We then add all our calculations - 15-3√ 2+5√ 2-2= 13+2√ 2

EJ
Answered by Emily J. Maths tutor

9523 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How to solve a quadratic by factorisation?


Find the roots of the quadratic equation 2x^2 - 15x - 8


How do I form an algebraic fraction into a single fraction in its simplest form?


A bag contains beads, 60% of which are green. A student claims that the probability of getting two green beads if the beads aren't replaced is 1/3 as 6/10 * 5/9 is 1/3. Is the student right?


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:

© 2025 by IXL Learning