Question

Uprość wyrażenie:

1.

a)√32+ √50- √72

b)√75- √12+ √300

c)√80+ √45+ √125

d)√700- √63- √28

2.

a)2√8- √32+ 4√200

b)-6√3- √48+ 2√300

c)8√5+ 2√245- 3√80

d)3√150- √24- 2√96

3.

a)√2+ √8+ √12+ √32

b)√75+ √48+ √27+ √3

c)√175- √700+ √576- √343

d)√90+ √250- √160- √490

4.

a)√18+ √75+ √72+ √27

b)√200+ √20- √32- √500

c)√80- √99- √125- √44

d) -√24+ √40- √54+ √160

Answer 1

1.

a)√32+ √50- √72=

√16*2+√25*2-√36*2= 4√2+5√2-6√2=3√2

b)√75- √12+ √300=5√3-2√3+10√3=13√3

c)√80+ √45+ √125=4√5+3√5+5√5=12√5

d)√700- √63- √28=10√7-3√7-2√7=5√7

2.

a)2√8- √32+ 4√200=4√2-4√2+40√2=40√2

b)-6√3- √48+ 2√300=-6√3-4√3+20√3=10√3

c)8√5+ 2√245- 3√80=8√5+14√5-12√5=10√5

d)3√150- √24- 2√96=15√6-2√6-8√6=8√6

3.

a)√2+ √8+ √12+ √32=√2+2√2+2√3+4√2=7√2+2√3

b)√75+ √48+ √27+ √3=5√3+4√3+3√3+√3=13√3

c)√175- √700+ √576- √343=5√7-10√7+24-7√7=-12√7+24

d)√90+ √250- √160- √490=3√10+5√10-4√10-7√10=-3√10

4.

a)√18+ √75+ √72+ √27=3√2+5√3+6√2+3√3=9√2+8√3

b)√200+ √20- √32- √500=5√8+2√5-2√8-10√5=3√8-8√5

c)√80- √99- √125- √44=4√5-3√11-5√5-2√11=-√5-5√11

d) -√24+ √40- √54+ √16=-2√6+2√10-3√6+4=-5√6+2√10+4