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

Answered by Emily J. Maths tutor

7638 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

The perimeter of a right-angled triangle is 72 cm. The lengths of its sides are in the ratio 3 : 4 : 5 Work out the area of the triangle


Solve the simultaneous equations: 3a + 2b = 17 and 4a - b = 30


Solve this simultaneous equation: (1) 2x+3y=12 (2) x+4y=11


Let a = 4b + 5(c - b). Find the value of c when a = 8 and b = 7.


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2024

Terms & Conditions|Privacy Policy
Cookie Preferences