Simplify √50 + √18, giving your answer in the form a√b with b square-free.

Worked solution for TMUA-P1-MM1-003 is revealed on this page behind the solution details.

Why isn't the answer to TMUA-P1-MM1-003 shown upfront?

The options are lettered without marking the correct one so you attempt TMUA-P1-MM1-003 first — TMUA questions reward spotting the trap before you check the worked solution below.

Do I need a calculator for TMUA-P1-MM1-003?

No — calculators are banned in the TMUA. TMUA-P1-MM1-003 is set for a no-calculator target of about 150 seconds; the worked solution shows the fastest by-hand route.

Which TMUA specification point is TMUA-P1-MM1-003?

TMUA-P1-MM1-003 is Paper P1 · Algebra and functions (specification code MM1), level 1. Drill more of the same topic from this page.

TMUA-P1-MM1-003 — Paper P1 · Algebra and functions · Level 1

P1MM1Level 1~150s target

Spec: MM1 · No calculator · ~150s

Simplify

\sqrt{50} + \sqrt{18}

, giving your answer in the form

a\sqrt{b}

with

b

square-free.

Options

$8\sqrt{2}$
$\sqrt{68}$
$6\sqrt{2}$
$4\sqrt{17}$
$34$

Letters only — the answer key is hidden. Work it out, then check the solution below.

Hint (check trope)

No written hint yet — check the trope: surd-simplification. Name the trap first, work the stem by hand, then open the solution below.

Show solution

Split each surd:

\sqrt{50} = 5\sqrt{2}

and

\sqrt{18} = 3\sqrt{2}

, so the sum is

8\sqrt{2}

Keep practising

Same topic · same level
P1MM1Level 1
TMUA-P1-MM1-002
Simplify 2^3 × 2^5/2^4.
Algebra and functions
Open TMUA-P1-MM1-002 →
Step up a level
P1MM1Level 2
TMUA-P1-MM1-001
The equation x^2 + kx + 9 = 0 has two equal real roots. What is the sum of all possible values of k?
Algebra and functions
Open TMUA-P1-MM1-001 →
More in this topic
P1MM1Level 1
TMUA-P1-MM1-004
Solve x^2 - 5x + 6 = 0.
Algebra and functions
Open TMUA-P1-MM1-004 →

Browse more

Loading…

Keep practising

Same topic · same level

P1MM1Level 1

TMUA-P1-MM1-002

Simplify 2^3 × 2^5/2^4.

Algebra and functions

Open TMUA-P1-MM1-002 →

Step up a level

P1MM1Level 2

TMUA-P1-MM1-001

The equation x^2 + kx + 9 = 0 has two equal real roots. What is the sum of all possible values of k?

Algebra and functions

Open TMUA-P1-MM1-001 →

TMUA-P1-MM1-003 — Paper P1 · Algebra and functions · Level 1

Options

Keep practising

Master Algebra and functions

TMUA-P1-MM1-003 — Paper P1 · Algebra and functions · Level 1

Options

Keep practising

Master Algebra and functions